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Finding the Fourth Proportional to 50,414.90, 69,574.19 and 27,756.20

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Solution

The fourth proportional to 50,414.90, 69,574.19 and 27,756.20 is: 38,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,414.90 : 69,574.19 = 27,756.20 : x
  2. Step 2: Convert to fraction form
    50,414.90/69,574.19 = 27,756.20/x
  3. Step 3: Cross multiply
    50,414.90x = 69,574.19 × 27,756.20
  4. Step 4: Simplify right side
    50,414.90x = 1,931,114,645.83
  5. Step 5: Solve for x
    x = 1,931,114,645.83/50,414.90
  6. Step 6: Final answer
    x = 38,304.45

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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.