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Finding the Fourth Proportional to 85,687.96, 128,585.16 and 41,319.28

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Solution

The fourth proportional to 85,687.96, 128,585.16 and 41,319.28 is: 62,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,687.96 : 128,585.16 = 41,319.28 : x
  2. Step 2: Convert to fraction form
    85,687.96/128,585.16 = 41,319.28/x
  3. Step 3: Cross multiply
    85,687.96x = 128,585.16 × 41,319.28
  4. Step 4: Simplify right side
    85,687.96x = 5,313,046,229.88
  5. Step 5: Solve for x
    x = 5,313,046,229.88/85,687.96
  6. Step 6: Final answer
    x = 62,004.58

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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.