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Finding the Fourth Proportional to 41,274.96, 56,920.20 and 27,848.40

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Solution

The fourth proportional to 41,274.96, 56,920.20 and 27,848.40 is: 38,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,274.96 : 56,920.20 = 27,848.40 : x
  2. Step 2: Convert to fraction form
    41,274.96/56,920.20 = 27,848.40/x
  3. Step 3: Cross multiply
    41,274.96x = 56,920.20 × 27,848.40
  4. Step 4: Simplify right side
    41,274.96x = 1,585,136,497.68
  5. Step 5: Solve for x
    x = 1,585,136,497.68/41,274.96
  6. Step 6: Final answer
    x = 38,404.31

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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.