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Finding the Fourth Proportional to 71,858.97, 99,166.41 and 41,646.38

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Solution

The fourth proportional to 71,858.97, 99,166.41 and 41,646.38 is: 57,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,858.97 : 99,166.41 = 41,646.38 : x
  2. Step 2: Convert to fraction form
    71,858.97/99,166.41 = 41,646.38/x
  3. Step 3: Cross multiply
    71,858.97x = 99,166.41 × 41,646.38
  4. Step 4: Simplify right side
    71,858.97x = 4,129,921,498.26
  5. Step 5: Solve for x
    x = 4,129,921,498.26/71,858.97
  6. Step 6: Final answer
    x = 57,472.60

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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.