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Finding the Fourth Proportional to 83,105.60, 124,655.20 and 27,701.60

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Solution

The fourth proportional to 83,105.60, 124,655.20 and 27,701.60 is: 41,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,105.60 : 124,655.20 = 27,701.60 : x
  2. Step 2: Convert to fraction form
    83,105.60/124,655.20 = 27,701.60/x
  3. Step 3: Cross multiply
    83,105.60x = 124,655.20 × 27,701.60
  4. Step 4: Simplify right side
    83,105.60x = 3,453,148,488.32
  5. Step 5: Solve for x
    x = 3,453,148,488.32/83,105.60
  6. Step 6: Final answer
    x = 41,551.33

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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.