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Finding the Fourth Proportional to 32,403.43, 48,610.14 and 10,214.83

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Solution

The fourth proportional to 32,403.43, 48,610.14 and 10,214.83 is: 15,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.43 : 48,610.14 = 10,214.83 : x
  2. Step 2: Convert to fraction form
    32,403.43/48,610.14 = 10,214.83/x
  3. Step 3: Cross multiply
    32,403.43x = 48,610.14 × 10,214.83
  4. Step 4: Simplify right side
    32,403.43x = 496,544,316.38
  5. Step 5: Solve for x
    x = 496,544,316.38/32,403.43
  6. Step 6: Final answer
    x = 15,323.82

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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.