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Finding the Fourth Proportional to 71,798.16, 99,074.30 and 41,593.20

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Solution

The fourth proportional to 71,798.16, 99,074.30 and 41,593.20 is: 57,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,798.16 : 99,074.30 = 41,593.20 : x
  2. Step 2: Convert to fraction form
    71,798.16/99,074.30 = 41,593.20/x
  3. Step 3: Cross multiply
    71,798.16x = 99,074.30 × 41,593.20
  4. Step 4: Simplify right side
    71,798.16x = 4,120,817,174.76
  5. Step 5: Solve for x
    x = 4,120,817,174.76/71,798.16
  6. Step 6: Final answer
    x = 57,394.47

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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.