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Finding the Fourth Proportional to 83,344.38, 114,895.68 and 59,429.58

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Solution

The fourth proportional to 83,344.38, 114,895.68 and 59,429.58 is: 81,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,344.38 : 114,895.68 = 59,429.58 : x
  2. Step 2: Convert to fraction form
    83,344.38/114,895.68 = 59,429.58/x
  3. Step 3: Cross multiply
    83,344.38x = 114,895.68 × 59,429.58
  4. Step 4: Simplify right side
    83,344.38x = 6,828,202,006.21
  5. Step 5: Solve for x
    x = 6,828,202,006.21/83,344.38
  6. Step 6: Final answer
    x = 81,927.56

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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.