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Finding the Fourth Proportional to 57,581.76, 79,461.52 and 32,088

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Solution

The fourth proportional to 57,581.76, 79,461.52 and 32,088 is: 44,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,581.76 : 79,461.52 = 32,088 : x
  2. Step 2: Convert to fraction form
    57,581.76/79,461.52 = 32,088/x
  3. Step 3: Cross multiply
    57,581.76x = 79,461.52 × 32,088
  4. Step 4: Simplify right side
    57,581.76x = 2,549,761,253.76
  5. Step 5: Solve for x
    x = 2,549,761,253.76/57,581.76
  6. Step 6: Final answer
    x = 44,280.71

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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.