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Finding the Fourth Proportional to 84,161.64, 126,410.58 and 52,627.80

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Solution

The fourth proportional to 84,161.64, 126,410.58 and 52,627.80 is: 79,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,161.64 : 126,410.58 = 52,627.80 : x
  2. Step 2: Convert to fraction form
    84,161.64/126,410.58 = 52,627.80/x
  3. Step 3: Cross multiply
    84,161.64x = 126,410.58 × 52,627.80
  4. Step 4: Simplify right side
    84,161.64x = 6,652,710,722.12
  5. Step 5: Solve for x
    x = 6,652,710,722.12/84,161.64
  6. Step 6: Final answer
    x = 79,046.83

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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.