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Finding the Fourth Proportional to 32,402.43, 48,608.64 and 10,213.83

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Solution

The fourth proportional to 32,402.43, 48,608.64 and 10,213.83 is: 15,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.43 : 48,608.64 = 10,213.83 : x
  2. Step 2: Convert to fraction form
    32,402.43/48,608.64 = 10,213.83/x
  3. Step 3: Cross multiply
    32,402.43x = 48,608.64 × 10,213.83
  4. Step 4: Simplify right side
    32,402.43x = 496,480,385.49
  5. Step 5: Solve for x
    x = 496,480,385.49/32,402.43
  6. Step 6: Final answer
    x = 15,322.32

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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.