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Finding the Fourth Proportional to 32,108.31, 48,144.78 and 9,915.57

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Solution

The fourth proportional to 32,108.31, 48,144.78 and 9,915.57 is: 14,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108.31 : 48,144.78 = 9,915.57 : x
  2. Step 2: Convert to fraction form
    32,108.31/48,144.78 = 9,915.57/x
  3. Step 3: Cross multiply
    32,108.31x = 48,144.78 × 9,915.57
  4. Step 4: Simplify right side
    32,108.31x = 477,382,936.22
  5. Step 5: Solve for x
    x = 477,382,936.22/32,108.31
  6. Step 6: Final answer
    x = 14,867.89

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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.