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Finding the Fourth Proportional to 32,329.60, 48,494.31 and 10,143.07

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Solution

The fourth proportional to 32,329.60, 48,494.31 and 10,143.07 is: 15,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,329.60 : 48,494.31 = 10,143.07 : x
  2. Step 2: Convert to fraction form
    32,329.60/48,494.31 = 10,143.07/x
  3. Step 3: Cross multiply
    32,329.60x = 48,494.31 × 10,143.07
  4. Step 4: Simplify right side
    32,329.60x = 491,881,180.93
  5. Step 5: Solve for x
    x = 491,881,180.93/32,329.60
  6. Step 6: Final answer
    x = 15,214.58

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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.