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Finding the Fourth Proportional to 50,357.70, 69,488.17 and 29,133

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Solution

The fourth proportional to 50,357.70, 69,488.17 and 29,133 is: 40,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,357.70 : 69,488.17 = 29,133 : x
  2. Step 2: Convert to fraction form
    50,357.70/69,488.17 = 29,133/x
  3. Step 3: Cross multiply
    50,357.70x = 69,488.17 × 29,133
  4. Step 4: Simplify right side
    50,357.70x = 2,024,398,856.61
  5. Step 5: Solve for x
    x = 2,024,398,856.61/50,357.70
  6. Step 6: Final answer
    x = 40,200.38

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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.