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Finding the Fourth Proportional to 69,129.84, 103,694.58 and 27,606

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Solution

The fourth proportional to 69,129.84, 103,694.58 and 27,606 is: 41,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,129.84 : 103,694.58 = 27,606 : x
  2. Step 2: Convert to fraction form
    69,129.84/103,694.58 = 27,606/x
  3. Step 3: Cross multiply
    69,129.84x = 103,694.58 × 27,606
  4. Step 4: Simplify right side
    69,129.84x = 2,862,592,575.48
  5. Step 5: Solve for x
    x = 2,862,592,575.48/69,129.84
  6. Step 6: Final answer
    x = 41,408.93

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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.