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Finding the Fourth Proportional to 82,269, 123,422.94 and 26,865

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Solution

The fourth proportional to 82,269, 123,422.94 and 26,865 is: 40,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,269 : 123,422.94 = 26,865 : x
  2. Step 2: Convert to fraction form
    82,269/123,422.94 = 26,865/x
  3. Step 3: Cross multiply
    82,269x = 123,422.94 × 26,865
  4. Step 4: Simplify right side
    82,269x = 3,315,757,283.10
  5. Step 5: Solve for x
    x = 3,315,757,283.10/82,269
  6. Step 6: Final answer
    x = 40,303.85

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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.