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Finding the Fourth Proportional to 32,402.56, 48,605.12 and 9,031.04

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Solution

The fourth proportional to 32,402.56, 48,605.12 and 9,031.04 is: 13,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.56 : 48,605.12 = 9,031.04 : x
  2. Step 2: Convert to fraction form
    32,402.56/48,605.12 = 9,031.04/x
  3. Step 3: Cross multiply
    32,402.56x = 48,605.12 × 9,031.04
  4. Step 4: Simplify right side
    32,402.56x = 438,954,782.92
  5. Step 5: Solve for x
    x = 438,954,782.92/32,402.56
  6. Step 6: Final answer
    x = 13,546.92

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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.