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Finding the Fourth Proportional to 34,508.68, 51,742.11 and 22,509.80

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Solution

The fourth proportional to 34,508.68, 51,742.11 and 22,509.80 is: 33,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,508.68 : 51,742.11 = 22,509.80 : x
  2. Step 2: Convert to fraction form
    34,508.68/51,742.11 = 22,509.80/x
  3. Step 3: Cross multiply
    34,508.68x = 51,742.11 × 22,509.80
  4. Step 4: Simplify right side
    34,508.68x = 1,164,704,288.97
  5. Step 5: Solve for x
    x = 1,164,704,288.97/34,508.68
  6. Step 6: Final answer
    x = 33,751.06

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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.