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Finding the Fourth Proportional to 66,869.62, 92,283.09 and 38,191.78

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Solution

The fourth proportional to 66,869.62, 92,283.09 and 38,191.78 is: 52,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,869.62 : 92,283.09 = 38,191.78 : x
  2. Step 2: Convert to fraction form
    66,869.62/92,283.09 = 38,191.78/x
  3. Step 3: Cross multiply
    66,869.62x = 92,283.09 × 38,191.78
  4. Step 4: Simplify right side
    66,869.62x = 3,524,455,471.00
  5. Step 5: Solve for x
    x = 3,524,455,471.00/66,869.62
  6. Step 6: Final answer
    x = 52,706.38

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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.