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Finding the Fourth Proportional to 50,902.49, 70,244.10 and 27,932.24

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Solution

The fourth proportional to 50,902.49, 70,244.10 and 27,932.24 is: 38,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902.49 : 70,244.10 = 27,932.24 : x
  2. Step 2: Convert to fraction form
    50,902.49/70,244.10 = 27,932.24/x
  3. Step 3: Cross multiply
    50,902.49x = 70,244.10 × 27,932.24
  4. Step 4: Simplify right side
    50,902.49x = 1,962,075,235.39
  5. Step 5: Solve for x
    x = 1,962,075,235.39/50,902.49
  6. Step 6: Final answer
    x = 38,545.76

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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.