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Finding the Fourth Proportional to 32,403.68, 48,600.91 and 10,214.17

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Solution

The fourth proportional to 32,403.68, 48,600.91 and 10,214.17 is: 15,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.68 : 48,600.91 = 10,214.17 : x
  2. Step 2: Convert to fraction form
    32,403.68/48,600.91 = 10,214.17/x
  3. Step 3: Cross multiply
    32,403.68x = 48,600.91 × 10,214.17
  4. Step 4: Simplify right side
    32,403.68x = 496,417,956.89
  5. Step 5: Solve for x
    x = 496,417,956.89/32,403.68
  6. Step 6: Final answer
    x = 15,319.80

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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.