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Finding the Fourth Proportional to 109,902.84, 164,854.44 and 39,765.84

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Solution

The fourth proportional to 109,902.84, 164,854.44 and 39,765.84 is: 59,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,902.84 : 164,854.44 = 39,765.84 : x
  2. Step 2: Convert to fraction form
    109,902.84/164,854.44 = 39,765.84/x
  3. Step 3: Cross multiply
    109,902.84x = 164,854.44 × 39,765.84
  4. Step 4: Simplify right side
    109,902.84x = 6,555,575,284.33
  5. Step 5: Solve for x
    x = 6,555,575,284.33/109,902.84
  6. Step 6: Final answer
    x = 59,648.83

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1.5x scale

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.