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Finding the Fourth Proportional to 32,041.64, 48,081.96 and 12,321.92

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Solution

The fourth proportional to 32,041.64, 48,081.96 and 12,321.92 is: 18,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041.64 : 48,081.96 = 12,321.92 : x
  2. Step 2: Convert to fraction form
    32,041.64/48,081.96 = 12,321.92/x
  3. Step 3: Cross multiply
    32,041.64x = 48,081.96 × 12,321.92
  4. Step 4: Simplify right side
    32,041.64x = 592,462,064.56
  5. Step 5: Solve for x
    x = 592,462,064.56/32,041.64
  6. Step 6: Final answer
    x = 18,490.38

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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.