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Finding the Fourth Proportional to 83,983.30, 115,892.58 and 52,151.52

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Solution

The fourth proportional to 83,983.30, 115,892.58 and 52,151.52 is: 71,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,983.30 : 115,892.58 = 52,151.52 : x
  2. Step 2: Convert to fraction form
    83,983.30/115,892.58 = 52,151.52/x
  3. Step 3: Cross multiply
    83,983.30x = 115,892.58 × 52,151.52
  4. Step 4: Simplify right side
    83,983.30x = 6,043,974,203.72
  5. Step 5: Solve for x
    x = 6,043,974,203.72/83,983.30
  6. Step 6: Final answer
    x = 71,966.38

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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.