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Finding the Fourth Proportional to 41,698.38, 57,534.54 and 24,694.14

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Solution

The fourth proportional to 41,698.38, 57,534.54 and 24,694.14 is: 34,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,698.38 : 57,534.54 = 24,694.14 : x
  2. Step 2: Convert to fraction form
    41,698.38/57,534.54 = 24,694.14/x
  3. Step 3: Cross multiply
    41,698.38x = 57,534.54 × 24,694.14
  4. Step 4: Simplify right side
    41,698.38x = 1,420,765,985.60
  5. Step 5: Solve for x
    x = 1,420,765,985.60/41,698.38
  6. Step 6: Final answer
    x = 34,072.45

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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.