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Finding the Fourth Proportional to 32,641.20, 45,041.76 and 18,494

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Solution

The fourth proportional to 32,641.20, 45,041.76 and 18,494 is: 25,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.20 : 45,041.76 = 18,494 : x
  2. Step 2: Convert to fraction form
    32,641.20/45,041.76 = 18,494/x
  3. Step 3: Cross multiply
    32,641.20x = 45,041.76 × 18,494
  4. Step 4: Simplify right side
    32,641.20x = 833,002,309.44
  5. Step 5: Solve for x
    x = 833,002,309.44/32,641.20
  6. Step 6: Final answer
    x = 25,519.97

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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.