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Finding the Fourth Proportional to 32,262.68, 48,385.80 and 10,078.32

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Solution

The fourth proportional to 32,262.68, 48,385.80 and 10,078.32 is: 15,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,262.68 : 48,385.80 = 10,078.32 : x
  2. Step 2: Convert to fraction form
    32,262.68/48,385.80 = 10,078.32/x
  3. Step 3: Cross multiply
    32,262.68x = 48,385.80 × 10,078.32
  4. Step 4: Simplify right side
    32,262.68x = 487,647,575.86
  5. Step 5: Solve for x
    x = 487,647,575.86/32,262.68
  6. Step 6: Final answer
    x = 15,114.91

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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.