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Finding the Fourth Proportional to 82,357.20, 123,535.80 and 49,114.80

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Solution

The fourth proportional to 82,357.20, 123,535.80 and 49,114.80 is: 73,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,357.20 : 123,535.80 = 49,114.80 : x
  2. Step 2: Convert to fraction form
    82,357.20/123,535.80 = 49,114.80/x
  3. Step 3: Cross multiply
    82,357.20x = 123,535.80 × 49,114.80
  4. Step 4: Simplify right side
    82,357.20x = 6,067,436,109.84
  5. Step 5: Solve for x
    x = 6,067,436,109.84/82,357.20
  6. Step 6: Final answer
    x = 73,672.20

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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.