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Finding the Fourth Proportional to 82,225.50, 123,357.75 and 26,821.50

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Solution

The fourth proportional to 82,225.50, 123,357.75 and 26,821.50 is: 40,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,225.50 : 123,357.75 = 26,821.50 : x
  2. Step 2: Convert to fraction form
    82,225.50/123,357.75 = 26,821.50/x
  3. Step 3: Cross multiply
    82,225.50x = 123,357.75 × 26,821.50
  4. Step 4: Simplify right side
    82,225.50x = 3,308,639,891.63
  5. Step 5: Solve for x
    x = 3,308,639,891.63/82,225.50
  6. Step 6: Final answer
    x = 40,238.61

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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.