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Finding the Fourth Proportional to 40,047.12, 55,262.12 and 22,142.34

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Solution

The fourth proportional to 40,047.12, 55,262.12 and 22,142.34 is: 30,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,047.12 : 55,262.12 = 22,142.34 : x
  2. Step 2: Convert to fraction form
    40,047.12/55,262.12 = 22,142.34/x
  3. Step 3: Cross multiply
    40,047.12x = 55,262.12 × 22,142.34
  4. Step 4: Simplify right side
    40,047.12x = 1,223,632,539.45
  5. Step 5: Solve for x
    x = 1,223,632,539.45/40,047.12
  6. Step 6: Final answer
    x = 30,554.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.