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Finding the Fourth Proportional to 32,265.92, 48,408.60 and 10,078.40

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Solution

The fourth proportional to 32,265.92, 48,408.60 and 10,078.40 is: 15,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,265.92 : 48,408.60 = 10,078.40 : x
  2. Step 2: Convert to fraction form
    32,265.92/48,408.60 = 10,078.40/x
  3. Step 3: Cross multiply
    32,265.92x = 48,408.60 × 10,078.40
  4. Step 4: Simplify right side
    32,265.92x = 487,881,234.24
  5. Step 5: Solve for x
    x = 487,881,234.24/32,265.92
  6. Step 6: Final answer
    x = 15,120.64

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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.