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Finding the Fourth Proportional to 47,178.73, 70,772.55 and 15,589

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Solution

The fourth proportional to 47,178.73, 70,772.55 and 15,589 is: 23,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,178.73 : 70,772.55 = 15,589 : x
  2. Step 2: Convert to fraction form
    47,178.73/70,772.55 = 15,589/x
  3. Step 3: Cross multiply
    47,178.73x = 70,772.55 × 15,589
  4. Step 4: Simplify right side
    47,178.73x = 1,103,273,281.95
  5. Step 5: Solve for x
    x = 1,103,273,281.95/47,178.73
  6. Step 6: Final answer
    x = 23,384.97

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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.