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Finding the Fourth Proportional to 97,727.80, 146,591.70 and 45,239.80

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Solution

The fourth proportional to 97,727.80, 146,591.70 and 45,239.80 is: 67,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,727.80 : 146,591.70 = 45,239.80 : x
  2. Step 2: Convert to fraction form
    97,727.80/146,591.70 = 45,239.80/x
  3. Step 3: Cross multiply
    97,727.80x = 146,591.70 × 45,239.80
  4. Step 4: Simplify right side
    97,727.80x = 6,631,779,189.66
  5. Step 5: Solve for x
    x = 6,631,779,189.66/97,727.80
  6. Step 6: Final answer
    x = 67,859.70

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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.