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Finding the Fourth Proportional to 50,076, 69,104.88 and 27,720

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Solution

The fourth proportional to 50,076, 69,104.88 and 27,720 is: 38,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,076 : 69,104.88 = 27,720 : x
  2. Step 2: Convert to fraction form
    50,076/69,104.88 = 27,720/x
  3. Step 3: Cross multiply
    50,076x = 69,104.88 × 27,720
  4. Step 4: Simplify right side
    50,076x = 1,915,587,273.60
  5. Step 5: Solve for x
    x = 1,915,587,273.60/50,076
  6. Step 6: Final answer
    x = 38,253.60

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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.