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Finding the Fourth Proportional to 48,964.60, 73,457.70 and 15,686.20

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Solution

The fourth proportional to 48,964.60, 73,457.70 and 15,686.20 is: 23,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,964.60 : 73,457.70 = 15,686.20 : x
  2. Step 2: Convert to fraction form
    48,964.60/73,457.70 = 15,686.20/x
  3. Step 3: Cross multiply
    48,964.60x = 73,457.70 × 15,686.20
  4. Step 4: Simplify right side
    48,964.60x = 1,152,272,173.74
  5. Step 5: Solve for x
    x = 1,152,272,173.74/48,964.60
  6. Step 6: Final answer
    x = 23,532.76

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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.