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Finding the Fourth Proportional to 32,256.90, 48,391.02 and 10,069.38

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Solution

The fourth proportional to 32,256.90, 48,391.02 and 10,069.38 is: 15,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,256.90 : 48,391.02 = 10,069.38 : x
  2. Step 2: Convert to fraction form
    32,256.90/48,391.02 = 10,069.38/x
  3. Step 3: Cross multiply
    32,256.90x = 48,391.02 × 10,069.38
  4. Step 4: Simplify right side
    32,256.90x = 487,267,568.97
  5. Step 5: Solve for x
    x = 487,267,568.97/32,256.90
  6. Step 6: Final answer
    x = 15,105.84

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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.