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Finding the Fourth Proportional to 83,598.16, 125,397.24 and 42,016

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Solution

The fourth proportional to 83,598.16, 125,397.24 and 42,016 is: 63,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,598.16 : 125,397.24 = 42,016 : x
  2. Step 2: Convert to fraction form
    83,598.16/125,397.24 = 42,016/x
  3. Step 3: Cross multiply
    83,598.16x = 125,397.24 × 42,016
  4. Step 4: Simplify right side
    83,598.16x = 5,268,690,435.84
  5. Step 5: Solve for x
    x = 5,268,690,435.84/83,598.16
  6. Step 6: Final answer
    x = 63,024

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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.