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Finding the Fourth Proportional to 82,367.52, 123,551.28 and 23,209.44

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Solution

The fourth proportional to 82,367.52, 123,551.28 and 23,209.44 is: 34,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,367.52 : 123,551.28 = 23,209.44 : x
  2. Step 2: Convert to fraction form
    82,367.52/123,551.28 = 23,209.44/x
  3. Step 3: Cross multiply
    82,367.52x = 123,551.28 × 23,209.44
  4. Step 4: Simplify right side
    82,367.52x = 2,867,556,020.08
  5. Step 5: Solve for x
    x = 2,867,556,020.08/82,367.52
  6. Step 6: Final answer
    x = 34,814.16

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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.