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Finding the Fourth Proportional to 83,493.16, 115,331 and 62,235.52

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Solution

The fourth proportional to 83,493.16, 115,331 and 62,235.52 is: 85,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,493.16 : 115,331 = 62,235.52 : x
  2. Step 2: Convert to fraction form
    83,493.16/115,331 = 62,235.52/x
  3. Step 3: Cross multiply
    83,493.16x = 115,331 × 62,235.52
  4. Step 4: Simplify right side
    83,493.16x = 7,177,684,757.12
  5. Step 5: Solve for x
    x = 7,177,684,757.12/83,493.16
  6. Step 6: Final answer
    x = 85,967.34

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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.