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Finding the Fourth Proportional to 109,881.57, 164,767.82 and 34,991.95

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Solution

The fourth proportional to 109,881.57, 164,767.82 and 34,991.95 is: 52,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,881.57 : 164,767.82 = 34,991.95 : x
  2. Step 2: Convert to fraction form
    109,881.57/164,767.82 = 34,991.95/x
  3. Step 3: Cross multiply
    109,881.57x = 164,767.82 × 34,991.95
  4. Step 4: Simplify right side
    109,881.57x = 5,765,547,319.05
  5. Step 5: Solve for x
    x = 5,765,547,319.05/109,881.57
  6. Step 6: Final answer
    x = 52,470.56

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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.