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Finding the Fourth Proportional to 50,570.43, 69,785.88 and 27,909.12

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Solution

The fourth proportional to 50,570.43, 69,785.88 and 27,909.12 is: 38,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,570.43 : 69,785.88 = 27,909.12 : x
  2. Step 2: Convert to fraction form
    50,570.43/69,785.88 = 27,909.12/x
  3. Step 3: Cross multiply
    50,570.43x = 69,785.88 × 27,909.12
  4. Step 4: Simplify right side
    50,570.43x = 1,947,662,499.23
  5. Step 5: Solve for x
    x = 1,947,662,499.23/50,570.43
  6. Step 6: Final answer
    x = 38,513.86

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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.