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Finding the Fourth Proportional to 32,398.50, 48,578.61 and 12,654.15

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Solution

The fourth proportional to 32,398.50, 48,578.61 and 12,654.15 is: 18,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398.50 : 48,578.61 = 12,654.15 : x
  2. Step 2: Convert to fraction form
    32,398.50/48,578.61 = 12,654.15/x
  3. Step 3: Cross multiply
    32,398.50x = 48,578.61 × 12,654.15
  4. Step 4: Simplify right side
    32,398.50x = 614,721,017.73
  5. Step 5: Solve for x
    x = 614,721,017.73/32,398.50
  6. Step 6: Final answer
    x = 18,973.75

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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.