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Finding the Fourth Proportional to 41,915.88, 57,873.54 and 27,798.12

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Solution

The fourth proportional to 41,915.88, 57,873.54 and 27,798.12 is: 38,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,915.88 : 57,873.54 = 27,798.12 : x
  2. Step 2: Convert to fraction form
    41,915.88/57,873.54 = 27,798.12/x
  3. Step 3: Cross multiply
    41,915.88x = 57,873.54 × 27,798.12
  4. Step 4: Simplify right side
    41,915.88x = 1,608,775,609.74
  5. Step 5: Solve for x
    x = 1,608,775,609.74/41,915.88
  6. Step 6: Final answer
    x = 38,381.05

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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.