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Finding the Fourth Proportional to 32,229.35, 48,314.80 and 17,420.97

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Solution

The fourth proportional to 32,229.35, 48,314.80 and 17,420.97 is: 26,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,229.35 : 48,314.80 = 17,420.97 : x
  2. Step 2: Convert to fraction form
    32,229.35/48,314.80 = 17,420.97/x
  3. Step 3: Cross multiply
    32,229.35x = 48,314.80 × 17,420.97
  4. Step 4: Simplify right side
    32,229.35x = 841,690,681.36
  5. Step 5: Solve for x
    x = 841,690,681.36/32,229.35
  6. Step 6: Final answer
    x = 26,115.66

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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.