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Finding the Fourth Proportional to 70,473.72, 105,679.82 and 26,667

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Solution

The fourth proportional to 70,473.72, 105,679.82 and 26,667 is: 39,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,473.72 : 105,679.82 = 26,667 : x
  2. Step 2: Convert to fraction form
    70,473.72/105,679.82 = 26,667/x
  3. Step 3: Cross multiply
    70,473.72x = 105,679.82 × 26,667
  4. Step 4: Simplify right side
    70,473.72x = 2,818,163,759.94
  5. Step 5: Solve for x
    x = 2,818,163,759.94/70,473.72
  6. Step 6: Final answer
    x = 39,988.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.