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Finding the Fourth Proportional to 83,151.63, 124,735.60 and 22,361.14

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Solution

The fourth proportional to 83,151.63, 124,735.60 and 22,361.14 is: 33,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,151.63 : 124,735.60 = 22,361.14 : x
  2. Step 2: Convert to fraction form
    83,151.63/124,735.60 = 22,361.14/x
  3. Step 3: Cross multiply
    83,151.63x = 124,735.60 × 22,361.14
  4. Step 4: Simplify right side
    83,151.63x = 2,789,230,214.58
  5. Step 5: Solve for x
    x = 2,789,230,214.58/83,151.63
  6. Step 6: Final answer
    x = 33,543.90

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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.