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Finding the Fourth Proportional to 47,853.54, 66,040.06 and 27,711.30

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Solution

The fourth proportional to 47,853.54, 66,040.06 and 27,711.30 is: 38,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,853.54 : 66,040.06 = 27,711.30 : x
  2. Step 2: Convert to fraction form
    47,853.54/66,040.06 = 27,711.30/x
  3. Step 3: Cross multiply
    47,853.54x = 66,040.06 × 27,711.30
  4. Step 4: Simplify right side
    47,853.54x = 1,830,055,914.68
  5. Step 5: Solve for x
    x = 1,830,055,914.68/47,853.54
  6. Step 6: Final answer
    x = 38,242.85

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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.