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Finding the Fourth Proportional to 69,123.84, 103,685.58 and 27,600

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Solution

The fourth proportional to 69,123.84, 103,685.58 and 27,600 is: 41,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,123.84 : 103,685.58 = 27,600 : x
  2. Step 2: Convert to fraction form
    69,123.84/103,685.58 = 27,600/x
  3. Step 3: Cross multiply
    69,123.84x = 103,685.58 × 27,600
  4. Step 4: Simplify right side
    69,123.84x = 2,861,722,008
  5. Step 5: Solve for x
    x = 2,861,722,008/69,123.84
  6. Step 6: Final answer
    x = 41,399.93

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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.