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Finding the Fourth Proportional to 42,673.68, 63,886.56 and 24,850

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Solution

The fourth proportional to 42,673.68, 63,886.56 and 24,850 is: 37,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,673.68 : 63,886.56 = 24,850 : x
  2. Step 2: Convert to fraction form
    42,673.68/63,886.56 = 24,850/x
  3. Step 3: Cross multiply
    42,673.68x = 63,886.56 × 24,850
  4. Step 4: Simplify right side
    42,673.68x = 1,587,581,016
  5. Step 5: Solve for x
    x = 1,587,581,016/42,673.68
  6. Step 6: Final answer
    x = 37,202.81

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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.