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Finding the Fourth Proportional to 83,836.14, 125,774.19 and 24,673.74

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Solution

The fourth proportional to 83,836.14, 125,774.19 and 24,673.74 is: 37,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,836.14 : 125,774.19 = 24,673.74 : x
  2. Step 2: Convert to fraction form
    83,836.14/125,774.19 = 24,673.74/x
  3. Step 3: Cross multiply
    83,836.14x = 125,774.19 × 24,673.74
  4. Step 4: Simplify right side
    83,836.14x = 3,103,319,662.77
  5. Step 5: Solve for x
    x = 3,103,319,662.77/83,836.14
  6. Step 6: Final answer
    x = 37,016.49

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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.