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Finding the Fourth Proportional to 47,951.80, 71,933.10 and 14,671.60

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Solution

The fourth proportional to 47,951.80, 71,933.10 and 14,671.60 is: 22,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,951.80 : 71,933.10 = 14,671.60 : x
  2. Step 2: Convert to fraction form
    47,951.80/71,933.10 = 14,671.60/x
  3. Step 3: Cross multiply
    47,951.80x = 71,933.10 × 14,671.60
  4. Step 4: Simplify right side
    47,951.80x = 1,055,373,669.96
  5. Step 5: Solve for x
    x = 1,055,373,669.96/47,951.80
  6. Step 6: Final answer
    x = 22,009.05

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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.