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Finding the Fourth Proportional to 71,856.26, 99,164.12 and 41,641.64

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Solution

The fourth proportional to 71,856.26, 99,164.12 and 41,641.64 is: 57,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,856.26 : 99,164.12 = 41,641.64 : x
  2. Step 2: Convert to fraction form
    71,856.26/99,164.12 = 41,641.64/x
  3. Step 3: Cross multiply
    71,856.26x = 99,164.12 × 41,641.64
  4. Step 4: Simplify right side
    71,856.26x = 4,129,356,585.96
  5. Step 5: Solve for x
    x = 4,129,356,585.96/71,856.26
  6. Step 6: Final answer
    x = 57,466.90

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Why These Related Problems?

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