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Finding the Fourth Proportional to 109,649.12, 164,494.46 and 34,788.11

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Solution

The fourth proportional to 109,649.12, 164,494.46 and 34,788.11 is: 52,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,649.12 : 164,494.46 = 34,788.11 : x
  2. Step 2: Convert to fraction form
    109,649.12/164,494.46 = 34,788.11/x
  3. Step 3: Cross multiply
    109,649.12x = 164,494.46 × 34,788.11
  4. Step 4: Simplify right side
    109,649.12x = 5,722,451,368.87
  5. Step 5: Solve for x
    x = 5,722,451,368.87/109,649.12
  6. Step 6: Final answer
    x = 52,188.76

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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.