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Finding the Fourth Proportional to 83,067.50, 124,622.04 and 23,901.86

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Solution

The fourth proportional to 83,067.50, 124,622.04 and 23,901.86 is: 35,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,067.50 : 124,622.04 = 23,901.86 : x
  2. Step 2: Convert to fraction form
    83,067.50/124,622.04 = 23,901.86/x
  3. Step 3: Cross multiply
    83,067.50x = 124,622.04 × 23,901.86
  4. Step 4: Simplify right side
    83,067.50x = 2,978,698,552.99
  5. Step 5: Solve for x
    x = 2,978,698,552.99/83,067.50
  6. Step 6: Final answer
    x = 35,858.77

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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.