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Finding the Fourth Proportional to 50,210.38, 69,290.32 and 27,854.38

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Solution

The fourth proportional to 50,210.38, 69,290.32 and 27,854.38 is: 38,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,210.38 : 69,290.32 = 27,854.38 : x
  2. Step 2: Convert to fraction form
    50,210.38/69,290.32 = 27,854.38/x
  3. Step 3: Cross multiply
    50,210.38x = 69,290.32 × 27,854.38
  4. Step 4: Simplify right side
    50,210.38x = 1,930,038,557.15
  5. Step 5: Solve for x
    x = 1,930,038,557.15/50,210.38
  6. Step 6: Final answer
    x = 38,439.04

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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.