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Finding the Fourth Proportional to 38,282.82, 52,840.74 and 24,853.38

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Solution

The fourth proportional to 38,282.82, 52,840.74 and 24,853.38 is: 34,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.82 : 52,840.74 = 24,853.38 : x
  2. Step 2: Convert to fraction form
    38,282.82/52,840.74 = 24,853.38/x
  3. Step 3: Cross multiply
    38,282.82x = 52,840.74 × 24,853.38
  4. Step 4: Simplify right side
    38,282.82x = 1,313,270,990.70
  5. Step 5: Solve for x
    x = 1,313,270,990.70/38,282.82
  6. Step 6: Final answer
    x = 34,304.45

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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.