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Finding the Fourth Proportional to 47,797.02, 71,695.26 and 16,632

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Solution

The fourth proportional to 47,797.02, 71,695.26 and 16,632 is: 24,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.02 : 71,695.26 = 16,632 : x
  2. Step 2: Convert to fraction form
    47,797.02/71,695.26 = 16,632/x
  3. Step 3: Cross multiply
    47,797.02x = 71,695.26 × 16,632
  4. Step 4: Simplify right side
    47,797.02x = 1,192,435,564.32
  5. Step 5: Solve for x
    x = 1,192,435,564.32/47,797.02
  6. Step 6: Final answer
    x = 24,947.91

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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.