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Finding the Fourth Proportional to 71,031.94, 98,025.44 and 39,200.15

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Solution

The fourth proportional to 71,031.94, 98,025.44 and 39,200.15 is: 54,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,031.94 : 98,025.44 = 39,200.15 : x
  2. Step 2: Convert to fraction form
    71,031.94/98,025.44 = 39,200.15/x
  3. Step 3: Cross multiply
    71,031.94x = 98,025.44 × 39,200.15
  4. Step 4: Simplify right side
    71,031.94x = 3,842,612,221.38
  5. Step 5: Solve for x
    x = 3,842,612,221.38/71,031.94
  6. Step 6: Final answer
    x = 54,096.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.