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Finding the Fourth Proportional to 106,656.35, 159,984.52 and 27,770.34

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Solution

The fourth proportional to 106,656.35, 159,984.52 and 27,770.34 is: 41,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,656.35 : 159,984.52 = 27,770.34 : x
  2. Step 2: Convert to fraction form
    106,656.35/159,984.52 = 27,770.34/x
  3. Step 3: Cross multiply
    106,656.35x = 159,984.52 × 27,770.34
  4. Step 4: Simplify right side
    106,656.35x = 4,442,825,045.65
  5. Step 5: Solve for x
    x = 4,442,825,045.65/106,656.35
  6. Step 6: Final answer
    x = 41,655.52

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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.