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Finding the Fourth Proportional to 83,089.43, 114,813.35 and 59,174.58

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Solution

The fourth proportional to 83,089.43, 114,813.35 and 59,174.58 is: 81,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089.43 : 114,813.35 = 59,174.58 : x
  2. Step 2: Convert to fraction form
    83,089.43/114,813.35 = 59,174.58/x
  3. Step 3: Cross multiply
    83,089.43x = 114,813.35 × 59,174.58
  4. Step 4: Simplify right side
    83,089.43x = 6,794,032,121.22
  5. Step 5: Solve for x
    x = 6,794,032,121.22/83,089.43
  6. Step 6: Final answer
    x = 81,767.71

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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.