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Finding the Fourth Proportional to 106,650, 159,962.22 and 27,770.40

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Solution

The fourth proportional to 106,650, 159,962.22 and 27,770.40 is: 41,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,650 : 159,962.22 = 27,770.40 : x
  2. Step 2: Convert to fraction form
    106,650/159,962.22 = 27,770.40/x
  3. Step 3: Cross multiply
    106,650x = 159,962.22 × 27,770.40
  4. Step 4: Simplify right side
    106,650x = 4,442,214,834.29
  5. Step 5: Solve for x
    x = 4,442,214,834.29/106,650
  6. Step 6: Final answer
    x = 41,652.27

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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.