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Finding the Fourth Proportional to 50,854.56, 76,282.56 and 15,792

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Solution

The fourth proportional to 50,854.56, 76,282.56 and 15,792 is: 23,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,854.56 : 76,282.56 = 15,792 : x
  2. Step 2: Convert to fraction form
    50,854.56/76,282.56 = 15,792/x
  3. Step 3: Cross multiply
    50,854.56x = 76,282.56 × 15,792
  4. Step 4: Simplify right side
    50,854.56x = 1,204,654,187.52
  5. Step 5: Solve for x
    x = 1,204,654,187.52/50,854.56
  6. Step 6: Final answer
    x = 23,688.22

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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.