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Finding the Fourth Proportional to 51,902.70, 71,610.90 and 29,233.76

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Solution

The fourth proportional to 51,902.70, 71,610.90 and 29,233.76 is: 40,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,902.70 : 71,610.90 = 29,233.76 : x
  2. Step 2: Convert to fraction form
    51,902.70/71,610.90 = 29,233.76/x
  3. Step 3: Cross multiply
    51,902.70x = 71,610.90 × 29,233.76
  4. Step 4: Simplify right side
    51,902.70x = 2,093,455,863.98
  5. Step 5: Solve for x
    x = 2,093,455,863.98/51,902.70
  6. Step 6: Final answer
    x = 40,334.24

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1.5x scale

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.