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Finding the Fourth Proportional to 47,971.78, 71,962.80 and 18,414.88

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Solution

The fourth proportional to 47,971.78, 71,962.80 and 18,414.88 is: 27,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,971.78 : 71,962.80 = 18,414.88 : x
  2. Step 2: Convert to fraction form
    47,971.78/71,962.80 = 18,414.88/x
  3. Step 3: Cross multiply
    47,971.78x = 71,962.80 × 18,414.88
  4. Step 4: Simplify right side
    47,971.78x = 1,325,186,326.46
  5. Step 5: Solve for x
    x = 1,325,186,326.46/47,971.78
  6. Step 6: Final answer
    x = 27,624.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.