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Finding the Fourth Proportional to 83,432.76, 115,148.16 and 47,614.56

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Solution

The fourth proportional to 83,432.76, 115,148.16 and 47,614.56 is: 65,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,432.76 : 115,148.16 = 47,614.56 : x
  2. Step 2: Convert to fraction form
    83,432.76/115,148.16 = 47,614.56/x
  3. Step 3: Cross multiply
    83,432.76x = 115,148.16 × 47,614.56
  4. Step 4: Simplify right side
    83,432.76x = 5,482,728,973.21
  5. Step 5: Solve for x
    x = 5,482,728,973.21/83,432.76
  6. Step 6: Final answer
    x = 65,714.34

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