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Finding the Fourth Proportional to 32,476.81, 48,717.42 and 11,414.29

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Solution

The fourth proportional to 32,476.81, 48,717.42 and 11,414.29 is: 17,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.81 : 48,717.42 = 11,414.29 : x
  2. Step 2: Convert to fraction form
    32,476.81/48,717.42 = 11,414.29/x
  3. Step 3: Cross multiply
    32,476.81x = 48,717.42 × 11,414.29
  4. Step 4: Simplify right side
    32,476.81x = 556,074,702.86
  5. Step 5: Solve for x
    x = 556,074,702.86/32,476.81
  6. Step 6: Final answer
    x = 17,122.21

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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.