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Finding the Fourth Proportional to 83,257.50, 124,904.82 and 24,097.68

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Solution

The fourth proportional to 83,257.50, 124,904.82 and 24,097.68 is: 36,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,257.50 : 124,904.82 = 24,097.68 : x
  2. Step 2: Convert to fraction form
    83,257.50/124,904.82 = 24,097.68/x
  3. Step 3: Cross multiply
    83,257.50x = 124,904.82 × 24,097.68
  4. Step 4: Simplify right side
    83,257.50x = 3,009,916,382.82
  5. Step 5: Solve for x
    x = 3,009,916,382.82/83,257.50
  6. Step 6: Final answer
    x = 36,151.89

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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.