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Finding the Fourth Proportional to 32,585.89, 48,874.74 and 10,397.42

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Solution

The fourth proportional to 32,585.89, 48,874.74 and 10,397.42 is: 15,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585.89 : 48,874.74 = 10,397.42 : x
  2. Step 2: Convert to fraction form
    32,585.89/48,874.74 = 10,397.42/x
  3. Step 3: Cross multiply
    32,585.89x = 48,874.74 × 10,397.42
  4. Step 4: Simplify right side
    32,585.89x = 508,171,199.17
  5. Step 5: Solve for x
    x = 508,171,199.17/32,585.89
  6. Step 6: Final answer
    x = 15,594.83

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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.