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Finding the Fourth Proportional to 54,748.29, 82,122.29 and 13,195.29

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Solution

The fourth proportional to 54,748.29, 82,122.29 and 13,195.29 is: 19,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,748.29 : 82,122.29 = 13,195.29 : x
  2. Step 2: Convert to fraction form
    54,748.29/82,122.29 = 13,195.29/x
  3. Step 3: Cross multiply
    54,748.29x = 82,122.29 × 13,195.29
  4. Step 4: Simplify right side
    54,748.29x = 1,083,627,432.01
  5. Step 5: Solve for x
    x = 1,083,627,432.01/54,748.29
  6. Step 6: Final answer
    x = 19,792.90

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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.