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Finding the Fourth Proportional to 71,832.06, 107,748.15 and 22,584.06

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Solution

The fourth proportional to 71,832.06, 107,748.15 and 22,584.06 is: 33,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,832.06 : 107,748.15 = 22,584.06 : x
  2. Step 2: Convert to fraction form
    71,832.06/107,748.15 = 22,584.06/x
  3. Step 3: Cross multiply
    71,832.06x = 107,748.15 × 22,584.06
  4. Step 4: Simplify right side
    71,832.06x = 2,433,390,684.49
  5. Step 5: Solve for x
    x = 2,433,390,684.49/71,832.06
  6. Step 6: Final answer
    x = 33,876.11

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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.