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Finding the Fourth Proportional to 34,243.50, 51,294.50 and 20,160.13

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Solution

The fourth proportional to 34,243.50, 51,294.50 and 20,160.13 is: 30,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,243.50 : 51,294.50 = 20,160.13 : x
  2. Step 2: Convert to fraction form
    34,243.50/51,294.50 = 20,160.13/x
  3. Step 3: Cross multiply
    34,243.50x = 51,294.50 × 20,160.13
  4. Step 4: Simplify right side
    34,243.50x = 1,034,103,788.29
  5. Step 5: Solve for x
    x = 1,034,103,788.29/34,243.50
  6. Step 6: Final answer
    x = 30,198.54

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1.5x scale

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.