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Finding the Fourth Proportional to 109,406.46, 164,109.75 and 34,532.46

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Solution

The fourth proportional to 109,406.46, 164,109.75 and 34,532.46 is: 51,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,406.46 : 164,109.75 = 34,532.46 : x
  2. Step 2: Convert to fraction form
    109,406.46/164,109.75 = 34,532.46/x
  3. Step 3: Cross multiply
    109,406.46x = 164,109.75 × 34,532.46
  4. Step 4: Simplify right side
    109,406.46x = 5,667,113,377.49
  5. Step 5: Solve for x
    x = 5,667,113,377.49/109,406.46
  6. Step 6: Final answer
    x = 51,798.71

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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.