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Finding the Fourth Proportional to 71,281.92, 98,360.42 and 41,077.14

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Solution

The fourth proportional to 71,281.92, 98,360.42 and 41,077.14 is: 56,681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,281.92 : 98,360.42 = 41,077.14 : x
  2. Step 2: Convert to fraction form
    71,281.92/98,360.42 = 41,077.14/x
  3. Step 3: Cross multiply
    71,281.92x = 98,360.42 × 41,077.14
  4. Step 4: Simplify right side
    71,281.92x = 4,040,364,742.80
  5. Step 5: Solve for x
    x = 4,040,364,742.80/71,281.92
  6. Step 6: Final answer
    x = 56,681.48

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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.