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Finding the Fourth Proportional to 70,227, 105,355.08 and 22,192.38

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Solution

The fourth proportional to 70,227, 105,355.08 and 22,192.38 is: 33,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,227 : 105,355.08 = 22,192.38 : x
  2. Step 2: Convert to fraction form
    70,227/105,355.08 = 22,192.38/x
  3. Step 3: Cross multiply
    70,227x = 105,355.08 × 22,192.38
  4. Step 4: Simplify right side
    70,227x = 2,338,079,970.29
  5. Step 5: Solve for x
    x = 2,338,079,970.29/70,227
  6. Step 6: Final answer
    x = 33,293.18

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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.