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Finding the Fourth Proportional to 27,578.01, 38,096.42 and 24,592.89

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Solution

The fourth proportional to 27,578.01, 38,096.42 and 24,592.89 is: 33,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.01 : 38,096.42 = 24,592.89 : x
  2. Step 2: Convert to fraction form
    27,578.01/38,096.42 = 24,592.89/x
  3. Step 3: Cross multiply
    27,578.01x = 38,096.42 × 24,592.89
  4. Step 4: Simplify right side
    27,578.01x = 936,900,943.49
  5. Step 5: Solve for x
    x = 936,900,943.49/27,578.01
  6. Step 6: Final answer
    x = 33,972.75

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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.