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Finding the Fourth Proportional to 50,443.71, 69,615.48 and 27,782.70

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Solution

The fourth proportional to 50,443.71, 69,615.48 and 27,782.70 is: 38,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,443.71 : 69,615.48 = 27,782.70 : x
  2. Step 2: Convert to fraction form
    50,443.71/69,615.48 = 27,782.70/x
  3. Step 3: Cross multiply
    50,443.71x = 69,615.48 × 27,782.70
  4. Step 4: Simplify right side
    50,443.71x = 1,934,105,578.66
  5. Step 5: Solve for x
    x = 1,934,105,578.66/50,443.71
  6. Step 6: Final answer
    x = 38,341.86

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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.