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Finding the Fourth Proportional to 71,928.30, 107,905.42 and 22,007.46

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Solution

The fourth proportional to 71,928.30, 107,905.42 and 22,007.46 is: 33,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,928.30 : 107,905.42 = 22,007.46 : x
  2. Step 2: Convert to fraction form
    71,928.30/107,905.42 = 22,007.46/x
  3. Step 3: Cross multiply
    71,928.30x = 107,905.42 × 22,007.46
  4. Step 4: Simplify right side
    71,928.30x = 2,374,724,214.43
  5. Step 5: Solve for x
    x = 2,374,724,214.43/71,928.30
  6. Step 6: Final answer
    x = 33,015.16

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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.