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Finding the Fourth Proportional to 109,896.85, 164,867.15 and 35,014.57

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Solution

The fourth proportional to 109,896.85, 164,867.15 and 35,014.57 is: 52,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,896.85 : 164,867.15 = 35,014.57 : x
  2. Step 2: Convert to fraction form
    109,896.85/164,867.15 = 35,014.57/x
  3. Step 3: Cross multiply
    109,896.85x = 164,867.15 × 35,014.57
  4. Step 4: Simplify right side
    109,896.85x = 5,772,752,364.38
  5. Step 5: Solve for x
    x = 5,772,752,364.38/109,896.85
  6. Step 6: Final answer
    x = 52,528.82

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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.