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Finding the Fourth Proportional to 82,309.80, 123,464.70 and 23,144.70

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Solution

The fourth proportional to 82,309.80, 123,464.70 and 23,144.70 is: 34,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,309.80 : 123,464.70 = 23,144.70 : x
  2. Step 2: Convert to fraction form
    82,309.80/123,464.70 = 23,144.70/x
  3. Step 3: Cross multiply
    82,309.80x = 123,464.70 × 23,144.70
  4. Step 4: Simplify right side
    82,309.80x = 2,857,553,442.09
  5. Step 5: Solve for x
    x = 2,857,553,442.09/82,309.80
  6. Step 6: Final answer
    x = 34,717.05

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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.