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Finding the Fourth Proportional to 32,198.68, 44,433.52 and 17,856.20

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Solution

The fourth proportional to 32,198.68, 44,433.52 and 17,856.20 is: 24,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.68 : 44,433.52 = 17,856.20 : x
  2. Step 2: Convert to fraction form
    32,198.68/44,433.52 = 17,856.20/x
  3. Step 3: Cross multiply
    32,198.68x = 44,433.52 × 17,856.20
  4. Step 4: Simplify right side
    32,198.68x = 793,413,819.82
  5. Step 5: Solve for x
    x = 793,413,819.82/32,198.68
  6. Step 6: Final answer
    x = 24,641.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.