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Finding the Fourth Proportional to 38,182.59, 52,674.71 and 24,757.25

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Solution

The fourth proportional to 38,182.59, 52,674.71 and 24,757.25 is: 34,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,182.59 : 52,674.71 = 24,757.25 : x
  2. Step 2: Convert to fraction form
    38,182.59/52,674.71 = 24,757.25/x
  3. Step 3: Cross multiply
    38,182.59x = 52,674.71 × 24,757.25
  4. Step 4: Simplify right side
    38,182.59x = 1,304,080,576.99
  5. Step 5: Solve for x
    x = 1,304,080,576.99/38,182.59
  6. Step 6: Final answer
    x = 34,153.80

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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.