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Finding the Fourth Proportional to 47,964.76, 66,197.88 and 27,554.80

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Solution

The fourth proportional to 47,964.76, 66,197.88 and 27,554.80 is: 38,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,964.76 : 66,197.88 = 27,554.80 : x
  2. Step 2: Convert to fraction form
    47,964.76/66,197.88 = 27,554.80/x
  3. Step 3: Cross multiply
    47,964.76x = 66,197.88 × 27,554.80
  4. Step 4: Simplify right side
    47,964.76x = 1,824,069,343.82
  5. Step 5: Solve for x
    x = 1,824,069,343.82/47,964.76
  6. Step 6: Final answer
    x = 38,029.36

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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.