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Finding the Fourth Proportional to 32,419.73, 48,627.77 and 9,046.17

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Solution

The fourth proportional to 32,419.73, 48,627.77 and 9,046.17 is: 13,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.73 : 48,627.77 = 9,046.17 : x
  2. Step 2: Convert to fraction form
    32,419.73/48,627.77 = 9,046.17/x
  3. Step 3: Cross multiply
    32,419.73x = 48,627.77 × 9,046.17
  4. Step 4: Simplify right side
    32,419.73x = 439,895,028.91
  5. Step 5: Solve for x
    x = 439,895,028.91/32,419.73
  6. Step 6: Final answer
    x = 13,568.75

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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.