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Finding the Fourth Proportional to 45,008.92, 67,522.38 and 13,843

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Solution

The fourth proportional to 45,008.92, 67,522.38 and 13,843 is: 20,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,008.92 : 67,522.38 = 13,843 : x
  2. Step 2: Convert to fraction form
    45,008.92/67,522.38 = 13,843/x
  3. Step 3: Cross multiply
    45,008.92x = 67,522.38 × 13,843
  4. Step 4: Simplify right side
    45,008.92x = 934,712,306.34
  5. Step 5: Solve for x
    x = 934,712,306.34/45,008.92
  6. Step 6: Final answer
    x = 20,767.27

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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.