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Finding the Fourth Proportional to 52,160,971.80, 78,241,457.70 and 45,783,679.80

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Solution

The fourth proportional to 52,160,971.80, 78,241,457.70 and 45,783,679.80 is: 68,675,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160,971.80 : 78,241,457.70 = 45,783,679.80 : x
  2. Step 2: Convert to fraction form
    52,160,971.80/78,241,457.70 = 45,783,679.80/x
  3. Step 3: Cross multiply
    52,160,971.80x = 78,241,457.70 × 45,783,679.80
  4. Step 4: Simplify right side
    52,160,971.80x = 3,582,181,846,422,044.50
  5. Step 5: Solve for x
    x = 3,582,181,846,422,044.50/52,160,971.80
  6. Step 6: Final answer
    x = 68,675,519.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.