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Finding the Fourth Proportional to 47,856.52, 71,609.22 and 39,939.48

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Solution

The fourth proportional to 47,856.52, 71,609.22 and 39,939.48 is: 59,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,856.52 : 71,609.22 = 39,939.48 : x
  2. Step 2: Convert to fraction form
    47,856.52/71,609.22 = 39,939.48/x
  3. Step 3: Cross multiply
    47,856.52x = 71,609.22 × 39,939.48
  4. Step 4: Simplify right side
    47,856.52x = 2,860,035,010.01
  5. Step 5: Solve for x
    x = 2,860,035,010.01/47,856.52
  6. Step 6: Final answer
    x = 59,762.70

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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.