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Finding the Fourth Proportional to 109,512.87, 164,289.56 and 34,651.86

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Solution

The fourth proportional to 109,512.87, 164,289.56 and 34,651.86 is: 51,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,512.87 : 164,289.56 = 34,651.86 : x
  2. Step 2: Convert to fraction form
    109,512.87/164,289.56 = 34,651.86/x
  3. Step 3: Cross multiply
    109,512.87x = 164,289.56 × 34,651.86
  4. Step 4: Simplify right side
    109,512.87x = 5,692,938,832.58
  5. Step 5: Solve for x
    x = 5,692,938,832.58/109,512.87
  6. Step 6: Final answer
    x = 51,984.20

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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.