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Finding the Fourth Proportional to 47,345.97, 71,013.71 and 16,949.89

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Solution

The fourth proportional to 47,345.97, 71,013.71 and 16,949.89 is: 25,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,345.97 : 71,013.71 = 16,949.89 : x
  2. Step 2: Convert to fraction form
    47,345.97/71,013.71 = 16,949.89/x
  3. Step 3: Cross multiply
    47,345.97x = 71,013.71 × 16,949.89
  4. Step 4: Simplify right side
    47,345.97x = 1,203,674,488.24
  5. Step 5: Solve for x
    x = 1,203,674,488.24/47,345.97
  6. Step 6: Final answer
    x = 25,422.96

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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.