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Finding the Fourth Proportional to 82,569.66, 123,854.49 and 35,821.50

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Solution

The fourth proportional to 82,569.66, 123,854.49 and 35,821.50 is: 53,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,569.66 : 123,854.49 = 35,821.50 : x
  2. Step 2: Convert to fraction form
    82,569.66/123,854.49 = 35,821.50/x
  3. Step 3: Cross multiply
    82,569.66x = 123,854.49 × 35,821.50
  4. Step 4: Simplify right side
    82,569.66x = 4,436,653,613.54
  5. Step 5: Solve for x
    x = 4,436,653,613.54/82,569.66
  6. Step 6: Final answer
    x = 53,732.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.