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Finding the Fourth Proportional to 32,176.60, 48,264.90 and 17,414.35

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Solution

The fourth proportional to 32,176.60, 48,264.90 and 17,414.35 is: 26,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.60 : 48,264.90 = 17,414.35 : x
  2. Step 2: Convert to fraction form
    32,176.60/48,264.90 = 17,414.35/x
  3. Step 3: Cross multiply
    32,176.60x = 48,264.90 × 17,414.35
  4. Step 4: Simplify right side
    32,176.60x = 840,501,861.32
  5. Step 5: Solve for x
    x = 840,501,861.32/32,176.60
  6. Step 6: Final answer
    x = 26,121.53

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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.