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Finding the Fourth Proportional to 71,708.90, 98,966.21 and 41,493.87

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Solution

The fourth proportional to 71,708.90, 98,966.21 and 41,493.87 is: 57,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,708.90 : 98,966.21 = 41,493.87 : x
  2. Step 2: Convert to fraction form
    71,708.90/98,966.21 = 41,493.87/x
  3. Step 3: Cross multiply
    71,708.90x = 98,966.21 × 41,493.87
  4. Step 4: Simplify right side
    71,708.90x = 4,106,490,844.66
  5. Step 5: Solve for x
    x = 4,106,490,844.66/71,708.90
  6. Step 6: Final answer
    x = 57,266.13

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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.