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Finding the Fourth Proportional to 109,591.74, 164,385.78 and 34,711.74

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Solution

The fourth proportional to 109,591.74, 164,385.78 and 34,711.74 is: 52,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,591.74 : 164,385.78 = 34,711.74 : x
  2. Step 2: Convert to fraction form
    109,591.74/164,385.78 = 34,711.74/x
  3. Step 3: Cross multiply
    109,591.74x = 164,385.78 × 34,711.74
  4. Step 4: Simplify right side
    109,591.74x = 5,706,116,455.06
  5. Step 5: Solve for x
    x = 5,706,116,455.06/109,591.74
  6. Step 6: Final answer
    x = 52,067.03

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1.5x scale

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.