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Finding the Fourth Proportional to 71,624.25, 107,436.38 and 22,376.25

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Solution

The fourth proportional to 71,624.25, 107,436.38 and 22,376.25 is: 33,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,624.25 : 107,436.38 = 22,376.25 : x
  2. Step 2: Convert to fraction form
    71,624.25/107,436.38 = 22,376.25/x
  3. Step 3: Cross multiply
    71,624.25x = 107,436.38 × 22,376.25
  4. Step 4: Simplify right side
    71,624.25x = 2,404,023,186.09
  5. Step 5: Solve for x
    x = 2,404,023,186.09/71,624.25
  6. Step 6: Final answer
    x = 33,564.38

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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.