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Finding the Fourth Proportional to 82,236, 123,373.50 and 26,832

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Solution

The fourth proportional to 82,236, 123,373.50 and 26,832 is: 40,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,236 : 123,373.50 = 26,832 : x
  2. Step 2: Convert to fraction form
    82,236/123,373.50 = 26,832/x
  3. Step 3: Cross multiply
    82,236x = 123,373.50 × 26,832
  4. Step 4: Simplify right side
    82,236x = 3,310,357,752
  5. Step 5: Solve for x
    x = 3,310,357,752/82,236
  6. Step 6: Final answer
    x = 40,254.36

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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.