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Finding the Fourth Proportional to 34,073.38, 47,006.49 and 24,000.22

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Solution

The fourth proportional to 34,073.38, 47,006.49 and 24,000.22 is: 33,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,073.38 : 47,006.49 = 24,000.22 : x
  2. Step 2: Convert to fraction form
    34,073.38/47,006.49 = 24,000.22/x
  3. Step 3: Cross multiply
    34,073.38x = 47,006.49 × 24,000.22
  4. Step 4: Simplify right side
    34,073.38x = 1,128,166,101.43
  5. Step 5: Solve for x
    x = 1,128,166,101.43/34,073.38
  6. Step 6: Final answer
    x = 33,109.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.