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Finding the Fourth Proportional to 41,444.32, 57,202 and 27,298.40

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Solution

The fourth proportional to 41,444.32, 57,202 and 27,298.40 is: 37,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,444.32 : 57,202 = 27,298.40 : x
  2. Step 2: Convert to fraction form
    41,444.32/57,202 = 27,298.40/x
  3. Step 3: Cross multiply
    41,444.32x = 57,202 × 27,298.40
  4. Step 4: Simplify right side
    41,444.32x = 1,561,523,076.80
  5. Step 5: Solve for x
    x = 1,561,523,076.80/41,444.32
  6. Step 6: Final answer
    x = 37,677.61

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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.