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Finding the Fourth Proportional to 70,414.38, 97,171.86 and 42,126.75

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Solution

The fourth proportional to 70,414.38, 97,171.86 and 42,126.75 is: 58,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,414.38 : 97,171.86 = 42,126.75 : x
  2. Step 2: Convert to fraction form
    70,414.38/97,171.86 = 42,126.75/x
  3. Step 3: Cross multiply
    70,414.38x = 97,171.86 × 42,126.75
  4. Step 4: Simplify right side
    70,414.38x = 4,093,534,653.26
  5. Step 5: Solve for x
    x = 4,093,534,653.26/70,414.38
  6. Step 6: Final answer
    x = 58,134.92

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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.