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Finding the Fourth Proportional to 47,976, 71,989.92 and 23,352

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Solution

The fourth proportional to 47,976, 71,989.92 and 23,352 is: 35,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,976 : 71,989.92 = 23,352 : x
  2. Step 2: Convert to fraction form
    47,976/71,989.92 = 23,352/x
  3. Step 3: Cross multiply
    47,976x = 71,989.92 × 23,352
  4. Step 4: Simplify right side
    47,976x = 1,681,108,611.84
  5. Step 5: Solve for x
    x = 1,681,108,611.84/47,976
  6. Step 6: Final answer
    x = 35,040.62

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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.