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Finding the Fourth Proportional to 47,460.70, 71,201.85 and 27,729.10

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Solution

The fourth proportional to 47,460.70, 71,201.85 and 27,729.10 is: 41,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,460.70 : 71,201.85 = 27,729.10 : x
  2. Step 2: Convert to fraction form
    47,460.70/71,201.85 = 27,729.10/x
  3. Step 3: Cross multiply
    47,460.70x = 71,201.85 × 27,729.10
  4. Step 4: Simplify right side
    47,460.70x = 1,974,363,218.84
  5. Step 5: Solve for x
    x = 1,974,363,218.84/47,460.70
  6. Step 6: Final answer
    x = 41,599.96

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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.