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Finding the Fourth Proportional to 47,937.80, 71,742.54 and 39,516.68

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Solution

The fourth proportional to 47,937.80, 71,742.54 and 39,516.68 is: 59,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,937.80 : 71,742.54 = 39,516.68 : x
  2. Step 2: Convert to fraction form
    47,937.80/71,742.54 = 39,516.68/x
  3. Step 3: Cross multiply
    47,937.80x = 71,742.54 × 39,516.68
  4. Step 4: Simplify right side
    47,937.80x = 2,835,026,995.57
  5. Step 5: Solve for x
    x = 2,835,026,995.57/47,937.80
  6. Step 6: Final answer
    x = 59,139.70

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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.