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Finding the Fourth Proportional to 101,922.30, 152,883.45 and 27,042.30

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Solution

The fourth proportional to 101,922.30, 152,883.45 and 27,042.30 is: 40,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,922.30 : 152,883.45 = 27,042.30 : x
  2. Step 2: Convert to fraction form
    101,922.30/152,883.45 = 27,042.30/x
  3. Step 3: Cross multiply
    101,922.30x = 152,883.45 × 27,042.30
  4. Step 4: Simplify right side
    101,922.30x = 4,134,320,119.94
  5. Step 5: Solve for x
    x = 4,134,320,119.94/101,922.30
  6. Step 6: Final answer
    x = 40,563.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.