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Finding the Fourth Proportional to 109,921.38, 164,894.03 and 35,023.92

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Solution

The fourth proportional to 109,921.38, 164,894.03 and 35,023.92 is: 52,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,921.38 : 164,894.03 = 35,023.92 : x
  2. Step 2: Convert to fraction form
    109,921.38/164,894.03 = 35,023.92/x
  3. Step 3: Cross multiply
    109,921.38x = 164,894.03 × 35,023.92
  4. Step 4: Simplify right side
    109,921.38x = 5,775,235,140.08
  5. Step 5: Solve for x
    x = 5,775,235,140.08/109,921.38
  6. Step 6: Final answer
    x = 52,539.69

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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.