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Finding the Fourth Proportional to 71,941.96, 107,871.18 and 22,007.80

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Solution

The fourth proportional to 71,941.96, 107,871.18 and 22,007.80 is: 32,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,941.96 : 107,871.18 = 22,007.80 : x
  2. Step 2: Convert to fraction form
    71,941.96/107,871.18 = 22,007.80/x
  3. Step 3: Cross multiply
    71,941.96x = 107,871.18 × 22,007.80
  4. Step 4: Simplify right side
    71,941.96x = 2,374,007,355.20
  5. Step 5: Solve for x
    x = 2,374,007,355.20/71,941.96
  6. Step 6: Final answer
    x = 32,998.93

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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.