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Finding the Fourth Proportional to 50,204.76, 69,282.54 and 27,543.90

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Solution

The fourth proportional to 50,204.76, 69,282.54 and 27,543.90 is: 38,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,204.76 : 69,282.54 = 27,543.90 : x
  2. Step 2: Convert to fraction form
    50,204.76/69,282.54 = 27,543.90/x
  3. Step 3: Cross multiply
    50,204.76x = 69,282.54 × 27,543.90
  4. Step 4: Simplify right side
    50,204.76x = 1,908,311,223.60
  5. Step 5: Solve for x
    x = 1,908,311,223.60/50,204.76
  6. Step 6: Final answer
    x = 38,010.56

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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.