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Finding the Fourth Proportional to 32,322.13, 48,454.48 and 12,614.52

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Solution

The fourth proportional to 32,322.13, 48,454.48 and 12,614.52 is: 18,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322.13 : 48,454.48 = 12,614.52 : x
  2. Step 2: Convert to fraction form
    32,322.13/48,454.48 = 12,614.52/x
  3. Step 3: Cross multiply
    32,322.13x = 48,454.48 × 12,614.52
  4. Step 4: Simplify right side
    32,322.13x = 611,230,007.05
  5. Step 5: Solve for x
    x = 611,230,007.05/32,322.13
  6. Step 6: Final answer
    x = 18,910.57

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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.