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Finding the Fourth Proportional to 32,195.40, 48,306.98 and 17,414.72

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Solution

The fourth proportional to 32,195.40, 48,306.98 and 17,414.72 is: 26,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,195.40 : 48,306.98 = 17,414.72 : x
  2. Step 2: Convert to fraction form
    32,195.40/48,306.98 = 17,414.72/x
  3. Step 3: Cross multiply
    32,195.40x = 48,306.98 × 17,414.72
  4. Step 4: Simplify right side
    32,195.40x = 841,252,530.75
  5. Step 5: Solve for x
    x = 841,252,530.75/32,195.40
  6. Step 6: Final answer
    x = 26,129.59

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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.