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Finding the Fourth Proportional to 71,847.29, 99,172.25 and 46,354.38

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Solution

The fourth proportional to 71,847.29, 99,172.25 and 46,354.38 is: 63,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,847.29 : 99,172.25 = 46,354.38 : x
  2. Step 2: Convert to fraction form
    71,847.29/99,172.25 = 46,354.38/x
  3. Step 3: Cross multiply
    71,847.29x = 99,172.25 × 46,354.38
  4. Step 4: Simplify right side
    71,847.29x = 4,597,067,930.18
  5. Step 5: Solve for x
    x = 4,597,067,930.18/71,847.29
  6. Step 6: Final answer
    x = 63,983.88

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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.