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Finding the Fourth Proportional to 71,723.60, 107,599.80 and 21,806.80

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Solution

The fourth proportional to 71,723.60, 107,599.80 and 21,806.80 is: 32,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,723.60 : 107,599.80 = 21,806.80 : x
  2. Step 2: Convert to fraction form
    71,723.60/107,599.80 = 21,806.80/x
  3. Step 3: Cross multiply
    71,723.60x = 107,599.80 × 21,806.80
  4. Step 4: Simplify right side
    71,723.60x = 2,346,407,318.64
  5. Step 5: Solve for x
    x = 2,346,407,318.64/71,723.60
  6. Step 6: Final answer
    x = 32,714.58

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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.