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Finding the Fourth Proportional to 50,586, 75,878.88 and 17,306.40

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Solution

The fourth proportional to 50,586, 75,878.88 and 17,306.40 is: 25,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,586 : 75,878.88 = 17,306.40 : x
  2. Step 2: Convert to fraction form
    50,586/75,878.88 = 17,306.40/x
  3. Step 3: Cross multiply
    50,586x = 75,878.88 × 17,306.40
  4. Step 4: Simplify right side
    50,586x = 1,313,190,248.83
  5. Step 5: Solve for x
    x = 1,313,190,248.83/50,586
  6. Step 6: Final answer
    x = 25,959.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.