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Finding the Fourth Proportional to 92,364.49, 138,546.78 and 22,243.78

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Solution

The fourth proportional to 92,364.49, 138,546.78 and 22,243.78 is: 33,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,364.49 : 138,546.78 = 22,243.78 : x
  2. Step 2: Convert to fraction form
    92,364.49/138,546.78 = 22,243.78/x
  3. Step 3: Cross multiply
    92,364.49x = 138,546.78 × 22,243.78
  4. Step 4: Simplify right side
    92,364.49x = 3,081,804,094.03
  5. Step 5: Solve for x
    x = 3,081,804,094.03/92,364.49
  6. Step 6: Final answer
    x = 33,365.68

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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.