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Finding the Fourth Proportional to 80,654.42, 120,981.82 and 24,494.96

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Solution

The fourth proportional to 80,654.42, 120,981.82 and 24,494.96 is: 36,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,654.42 : 120,981.82 = 24,494.96 : x
  2. Step 2: Convert to fraction form
    80,654.42/120,981.82 = 24,494.96/x
  3. Step 3: Cross multiply
    80,654.42x = 120,981.82 × 24,494.96
  4. Step 4: Simplify right side
    80,654.42x = 2,963,444,841.63
  5. Step 5: Solve for x
    x = 2,963,444,841.63/80,654.42
  6. Step 6: Final answer
    x = 36,742.50

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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.