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Finding the Fourth Proportional to 47,884.50, 71,826.75 and 15,052.50

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Solution

The fourth proportional to 47,884.50, 71,826.75 and 15,052.50 is: 22,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,884.50 : 71,826.75 = 15,052.50 : x
  2. Step 2: Convert to fraction form
    47,884.50/71,826.75 = 15,052.50/x
  3. Step 3: Cross multiply
    47,884.50x = 71,826.75 × 15,052.50
  4. Step 4: Simplify right side
    47,884.50x = 1,081,172,154.38
  5. Step 5: Solve for x
    x = 1,081,172,154.38/47,884.50
  6. Step 6: Final answer
    x = 22,578.75

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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.