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Finding the Fourth Proportional to 109,241.71, 163,894.97 and 34,372.20

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Solution

The fourth proportional to 109,241.71, 163,894.97 and 34,372.20 is: 51,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,241.71 : 163,894.97 = 34,372.20 : x
  2. Step 2: Convert to fraction form
    109,241.71/163,894.97 = 34,372.20/x
  3. Step 3: Cross multiply
    109,241.71x = 163,894.97 × 34,372.20
  4. Step 4: Simplify right side
    109,241.71x = 5,633,429,696.50
  5. Step 5: Solve for x
    x = 5,633,429,696.50/109,241.71
  6. Step 6: Final answer
    x = 51,568.49

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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.