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Finding the Fourth Proportional to 31,199.32, 43,075.17 and 27,836.30

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Solution

The fourth proportional to 31,199.32, 43,075.17 and 27,836.30 is: 38,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,199.32 : 43,075.17 = 27,836.30 : x
  2. Step 2: Convert to fraction form
    31,199.32/43,075.17 = 27,836.30/x
  3. Step 3: Cross multiply
    31,199.32x = 43,075.17 × 27,836.30
  4. Step 4: Simplify right side
    31,199.32x = 1,199,053,354.67
  5. Step 5: Solve for x
    x = 1,199,053,354.67/31,199.32
  6. Step 6: Final answer
    x = 38,432.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.