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Finding the Fourth Proportional to 26,048, 39,092.50 and 13,397.24

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Solution

The fourth proportional to 26,048, 39,092.50 and 13,397.24 is: 20,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,048 : 39,092.50 = 13,397.24 : x
  2. Step 2: Convert to fraction form
    26,048/39,092.50 = 13,397.24/x
  3. Step 3: Cross multiply
    26,048x = 39,092.50 × 13,397.24
  4. Step 4: Simplify right side
    26,048x = 523,731,604.70
  5. Step 5: Solve for x
    x = 523,731,604.70/26,048
  6. Step 6: Final answer
    x = 20,106.40

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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.