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Finding the Fourth Proportional to 81,869.84, 122,804.80 and 22,720.40

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Solution

The fourth proportional to 81,869.84, 122,804.80 and 22,720.40 is: 34,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,869.84 : 122,804.80 = 22,720.40 : x
  2. Step 2: Convert to fraction form
    81,869.84/122,804.80 = 22,720.40/x
  3. Step 3: Cross multiply
    81,869.84x = 122,804.80 × 22,720.40
  4. Step 4: Simplify right side
    81,869.84x = 2,790,174,177.92
  5. Step 5: Solve for x
    x = 2,790,174,177.92/81,869.84
  6. Step 6: Final answer
    x = 34,080.61

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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.