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Finding the Fourth Proportional to 32,438.53, 48,653.62 and 10,254.15

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Solution

The fourth proportional to 32,438.53, 48,653.62 and 10,254.15 is: 15,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438.53 : 48,653.62 = 10,254.15 : x
  2. Step 2: Convert to fraction form
    32,438.53/48,653.62 = 10,254.15/x
  3. Step 3: Cross multiply
    32,438.53x = 48,653.62 × 10,254.15
  4. Step 4: Simplify right side
    32,438.53x = 498,901,517.52
  5. Step 5: Solve for x
    x = 498,901,517.52/32,438.53
  6. Step 6: Final answer
    x = 15,379.91

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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.