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Finding the Fourth Proportional to 50,167.38, 69,231.56 and 28,660

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Solution

The fourth proportional to 50,167.38, 69,231.56 and 28,660 is: 39,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,167.38 : 69,231.56 = 28,660 : x
  2. Step 2: Convert to fraction form
    50,167.38/69,231.56 = 28,660/x
  3. Step 3: Cross multiply
    50,167.38x = 69,231.56 × 28,660
  4. Step 4: Simplify right side
    50,167.38x = 1,984,176,509.60
  5. Step 5: Solve for x
    x = 1,984,176,509.60/50,167.38
  6. Step 6: Final answer
    x = 39,551.13

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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.