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Finding the Fourth Proportional to 81,809.93, 122,701.23 and 22,651.58

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Solution

The fourth proportional to 81,809.93, 122,701.23 and 22,651.58 is: 33,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,809.93 : 122,701.23 = 22,651.58 : x
  2. Step 2: Convert to fraction form
    81,809.93/122,701.23 = 22,651.58/x
  3. Step 3: Cross multiply
    81,809.93x = 122,701.23 × 22,651.58
  4. Step 4: Simplify right side
    81,809.93x = 2,779,377,034.20
  5. Step 5: Solve for x
    x = 2,779,377,034.20/81,809.93
  6. Step 6: Final answer
    x = 33,973.59

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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.