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Finding the Fourth Proportional to 71,829.40, 107,750.34 and 21,920.74

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Solution

The fourth proportional to 71,829.40, 107,750.34 and 21,920.74 is: 32,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,829.40 : 107,750.34 = 21,920.74 : x
  2. Step 2: Convert to fraction form
    71,829.40/107,750.34 = 21,920.74/x
  3. Step 3: Cross multiply
    71,829.40x = 107,750.34 × 21,920.74
  4. Step 4: Simplify right side
    71,829.40x = 2,361,967,188.05
  5. Step 5: Solve for x
    x = 2,361,967,188.05/71,829.40
  6. Step 6: Final answer
    x = 32,883.01

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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.