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Finding the Fourth Proportional to 61,853.97, 92,830.14 and 22,422.36

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Solution

The fourth proportional to 61,853.97, 92,830.14 and 22,422.36 is: 33,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,853.97 : 92,830.14 = 22,422.36 : x
  2. Step 2: Convert to fraction form
    61,853.97/92,830.14 = 22,422.36/x
  3. Step 3: Cross multiply
    61,853.97x = 92,830.14 × 22,422.36
  4. Step 4: Simplify right side
    61,853.97x = 2,081,470,817.93
  5. Step 5: Solve for x
    x = 2,081,470,817.93/61,853.97
  6. Step 6: Final answer
    x = 33,651.37

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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.