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Finding the Fourth Proportional to 32,155.70, 48,233.55 and 11,381.30

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Solution

The fourth proportional to 32,155.70, 48,233.55 and 11,381.30 is: 17,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155.70 : 48,233.55 = 11,381.30 : x
  2. Step 2: Convert to fraction form
    32,155.70/48,233.55 = 11,381.30/x
  3. Step 3: Cross multiply
    32,155.70x = 48,233.55 × 11,381.30
  4. Step 4: Simplify right side
    32,155.70x = 548,960,502.62
  5. Step 5: Solve for x
    x = 548,960,502.62/32,155.70
  6. Step 6: Final answer
    x = 17,071.95

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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.