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Finding the Fourth Proportional to 47,178.92, 70,772.94 and 17,201.23

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Solution

The fourth proportional to 47,178.92, 70,772.94 and 17,201.23 is: 25,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,178.92 : 70,772.94 = 17,201.23 : x
  2. Step 2: Convert to fraction form
    47,178.92/70,772.94 = 17,201.23/x
  3. Step 3: Cross multiply
    47,178.92x = 70,772.94 × 17,201.23
  4. Step 4: Simplify right side
    47,178.92x = 1,217,381,441.78
  5. Step 5: Solve for x
    x = 1,217,381,441.78/47,178.92
  6. Step 6: Final answer
    x = 25,803.50

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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.