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Finding the Fourth Proportional to 109,934.70, 164,869.65 and 43,352.70

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Solution

The fourth proportional to 109,934.70, 164,869.65 and 43,352.70 is: 65,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,934.70 : 164,869.65 = 43,352.70 : x
  2. Step 2: Convert to fraction form
    109,934.70/164,869.65 = 43,352.70/x
  3. Step 3: Cross multiply
    109,934.70x = 164,869.65 × 43,352.70
  4. Step 4: Simplify right side
    109,934.70x = 7,147,544,475.56
  5. Step 5: Solve for x
    x = 7,147,544,475.56/109,934.70
  6. Step 6: Final answer
    x = 65,016.27

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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.