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Finding the Fourth Proportional to 71,627.40, 98,834.82 and 41,406.84

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Solution

The fourth proportional to 71,627.40, 98,834.82 and 41,406.84 is: 57,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,627.40 : 98,834.82 = 41,406.84 : x
  2. Step 2: Convert to fraction form
    71,627.40/98,834.82 = 41,406.84/x
  3. Step 3: Cross multiply
    71,627.40x = 98,834.82 × 41,406.84
  4. Step 4: Simplify right side
    71,627.40x = 4,092,437,578.17
  5. Step 5: Solve for x
    x = 4,092,437,578.17/71,627.40
  6. Step 6: Final answer
    x = 57,135.08

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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.