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Finding the Fourth Proportional to 43,761.96, 65,487.42 and 32,046.12

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Solution

The fourth proportional to 43,761.96, 65,487.42 and 32,046.12 is: 47,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,761.96 : 65,487.42 = 32,046.12 : x
  2. Step 2: Convert to fraction form
    43,761.96/65,487.42 = 32,046.12/x
  3. Step 3: Cross multiply
    43,761.96x = 65,487.42 × 32,046.12
  4. Step 4: Simplify right side
    43,761.96x = 2,098,617,719.81
  5. Step 5: Solve for x
    x = 2,098,617,719.81/43,761.96
  6. Step 6: Final answer
    x = 47,955.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.