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Finding the Fourth Proportional to 32,089.24, 48,138.90 and 9,902.44

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Solution

The fourth proportional to 32,089.24, 48,138.90 and 9,902.44 is: 14,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.24 : 48,138.90 = 9,902.44 : x
  2. Step 2: Convert to fraction form
    32,089.24/48,138.90 = 9,902.44/x
  3. Step 3: Cross multiply
    32,089.24x = 48,138.90 × 9,902.44
  4. Step 4: Simplify right side
    32,089.24x = 476,692,568.92
  5. Step 5: Solve for x
    x = 476,692,568.92/32,089.24
  6. Step 6: Final answer
    x = 14,855.22

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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.