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Finding the Fourth Proportional to 32,039.64, 48,078.96 and 12,319.92

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Solution

The fourth proportional to 32,039.64, 48,078.96 and 12,319.92 is: 18,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039.64 : 48,078.96 = 12,319.92 : x
  2. Step 2: Convert to fraction form
    32,039.64/48,078.96 = 12,319.92/x
  3. Step 3: Cross multiply
    32,039.64x = 48,078.96 × 12,319.92
  4. Step 4: Simplify right side
    32,039.64x = 592,328,940.88
  5. Step 5: Solve for x
    x = 592,328,940.88/32,039.64
  6. Step 6: Final answer
    x = 18,487.38

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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.