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Finding the Fourth Proportional to 69,575.72, 96,013.82 and 37,744.74

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Solution

The fourth proportional to 69,575.72, 96,013.82 and 37,744.74 is: 52,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,575.72 : 96,013.82 = 37,744.74 : x
  2. Step 2: Convert to fraction form
    69,575.72/96,013.82 = 37,744.74/x
  3. Step 3: Cross multiply
    69,575.72x = 96,013.82 × 37,744.74
  4. Step 4: Simplify right side
    69,575.72x = 3,624,016,766.67
  5. Step 5: Solve for x
    x = 3,624,016,766.67/69,575.72
  6. Step 6: Final answer
    x = 52,087.38

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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.