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Finding the Fourth Proportional to 50,815.50, 70,123.51 and 29,306.14

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Solution

The fourth proportional to 50,815.50, 70,123.51 and 29,306.14 is: 40,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,815.50 : 70,123.51 = 29,306.14 : x
  2. Step 2: Convert to fraction form
    50,815.50/70,123.51 = 29,306.14/x
  3. Step 3: Cross multiply
    50,815.50x = 70,123.51 × 29,306.14
  4. Step 4: Simplify right side
    50,815.50x = 2,055,049,401.35
  5. Step 5: Solve for x
    x = 2,055,049,401.35/50,815.50
  6. Step 6: Final answer
    x = 40,441.39

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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.