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Finding the Fourth Proportional to 50,315.92, 69,432.56 and 27,654.40

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Solution

The fourth proportional to 50,315.92, 69,432.56 and 27,654.40 is: 38,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,315.92 : 69,432.56 = 27,654.40 : x
  2. Step 2: Convert to fraction form
    50,315.92/69,432.56 = 27,654.40/x
  3. Step 3: Cross multiply
    50,315.92x = 69,432.56 × 27,654.40
  4. Step 4: Simplify right side
    50,315.92x = 1,920,115,787.26
  5. Step 5: Solve for x
    x = 1,920,115,787.26/50,315.92
  6. Step 6: Final answer
    x = 38,161.20

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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.