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Finding the Fourth Proportional to 27,346.80, 40,955.40 and 16,849.20

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Solution

The fourth proportional to 27,346.80, 40,955.40 and 16,849.20 is: 25,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.80 : 40,955.40 = 16,849.20 : x
  2. Step 2: Convert to fraction form
    27,346.80/40,955.40 = 16,849.20/x
  3. Step 3: Cross multiply
    27,346.80x = 40,955.40 × 16,849.20
  4. Step 4: Simplify right side
    27,346.80x = 690,065,725.68
  5. Step 5: Solve for x
    x = 690,065,725.68/27,346.80
  6. Step 6: Final answer
    x = 25,233.87

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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.