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Finding the Fourth Proportional to 69,793.83, 104,523.57 and 38,156.40

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Solution

The fourth proportional to 69,793.83, 104,523.57 and 38,156.40 is: 57,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,793.83 : 104,523.57 = 38,156.40 : x
  2. Step 2: Convert to fraction form
    69,793.83/104,523.57 = 38,156.40/x
  3. Step 3: Cross multiply
    69,793.83x = 104,523.57 × 38,156.40
  4. Step 4: Simplify right side
    69,793.83x = 3,988,243,146.35
  5. Step 5: Solve for x
    x = 3,988,243,146.35/69,793.83
  6. Step 6: Final answer
    x = 57,143.21

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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.