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Finding the Fourth Proportional to 71,432.77, 107,149.96 and 27,047.47

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Solution

The fourth proportional to 71,432.77, 107,149.96 and 27,047.47 is: 40,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,432.77 : 107,149.96 = 27,047.47 : x
  2. Step 2: Convert to fraction form
    71,432.77/107,149.96 = 27,047.47/x
  3. Step 3: Cross multiply
    71,432.77x = 107,149.96 × 27,047.47
  4. Step 4: Simplify right side
    71,432.77x = 2,898,134,725.23
  5. Step 5: Solve for x
    x = 2,898,134,725.23/71,432.77
  6. Step 6: Final answer
    x = 40,571.50

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1.5x scale

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.