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Finding the Fourth Proportional to 32,176.49, 48,294.90 and 17,397.05

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Solution

The fourth proportional to 32,176.49, 48,294.90 and 17,397.05 is: 26,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.49 : 48,294.90 = 17,397.05 : x
  2. Step 2: Convert to fraction form
    32,176.49/48,294.90 = 17,397.05/x
  3. Step 3: Cross multiply
    32,176.49x = 48,294.90 × 17,397.05
  4. Step 4: Simplify right side
    32,176.49x = 840,188,548.57
  5. Step 5: Solve for x
    x = 840,188,548.57/32,176.49
  6. Step 6: Final answer
    x = 26,111.88

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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.