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Finding the Fourth Proportional to 47,193.60, 70,793.60 and 16,031.20

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Solution

The fourth proportional to 47,193.60, 70,793.60 and 16,031.20 is: 24,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,193.60 : 70,793.60 = 16,031.20 : x
  2. Step 2: Convert to fraction form
    47,193.60/70,793.60 = 16,031.20/x
  3. Step 3: Cross multiply
    47,193.60x = 70,793.60 × 16,031.20
  4. Step 4: Simplify right side
    47,193.60x = 1,134,906,360.32
  5. Step 5: Solve for x
    x = 1,134,906,360.32/47,193.60
  6. Step 6: Final answer
    x = 24,047.89

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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.