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Finding the Fourth Proportional to 47,948.60, 66,163.60 and 27,801.28

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Solution

The fourth proportional to 47,948.60, 66,163.60 and 27,801.28 is: 38,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,948.60 : 66,163.60 = 27,801.28 : x
  2. Step 2: Convert to fraction form
    47,948.60/66,163.60 = 27,801.28/x
  3. Step 3: Cross multiply
    47,948.60x = 66,163.60 × 27,801.28
  4. Step 4: Simplify right side
    47,948.60x = 1,839,432,769.41
  5. Step 5: Solve for x
    x = 1,839,432,769.41/47,948.60
  6. Step 6: Final answer
    x = 38,362.60

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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.