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Finding the Fourth Proportional to 47,837, 71,767.02 and 15,005

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Solution

The fourth proportional to 47,837, 71,767.02 and 15,005 is: 22,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,837 : 71,767.02 = 15,005 : x
  2. Step 2: Convert to fraction form
    47,837/71,767.02 = 15,005/x
  3. Step 3: Cross multiply
    47,837x = 71,767.02 × 15,005
  4. Step 4: Simplify right side
    47,837x = 1,076,864,135.10
  5. Step 5: Solve for x
    x = 1,076,864,135.10/47,837
  6. Step 6: Final answer
    x = 22,511.11

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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.