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Finding the Fourth Proportional to 71,794.77, 107,705.25 and 21,869.21

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Solution

The fourth proportional to 71,794.77, 107,705.25 and 21,869.21 is: 32,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,794.77 : 107,705.25 = 21,869.21 : x
  2. Step 2: Convert to fraction form
    71,794.77/107,705.25 = 21,869.21/x
  3. Step 3: Cross multiply
    71,794.77x = 107,705.25 × 21,869.21
  4. Step 4: Simplify right side
    71,794.77x = 2,355,428,191.83
  5. Step 5: Solve for x
    x = 2,355,428,191.83/71,794.77
  6. Step 6: Final answer
    x = 32,807.80

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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.