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Finding the Fourth Proportional to 109,762.97, 164,658.42 and 34,856.39

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Solution

The fourth proportional to 109,762.97, 164,658.42 and 34,856.39 is: 52,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,762.97 : 164,658.42 = 34,856.39 : x
  2. Step 2: Convert to fraction form
    109,762.97/164,658.42 = 34,856.39/x
  3. Step 3: Cross multiply
    109,762.97x = 164,658.42 × 34,856.39
  4. Step 4: Simplify right side
    109,762.97x = 5,739,398,515.95
  5. Step 5: Solve for x
    x = 5,739,398,515.95/109,762.97
  6. Step 6: Final answer
    x = 52,289.03

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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.