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Finding the Fourth Proportional to 33,840.48, 50,760.56 and 22,572

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Solution

The fourth proportional to 33,840.48, 50,760.56 and 22,572 is: 33,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,840.48 : 50,760.56 = 22,572 : x
  2. Step 2: Convert to fraction form
    33,840.48/50,760.56 = 22,572/x
  3. Step 3: Cross multiply
    33,840.48x = 50,760.56 × 22,572
  4. Step 4: Simplify right side
    33,840.48x = 1,145,767,360.32
  5. Step 5: Solve for x
    x = 1,145,767,360.32/33,840.48
  6. Step 6: Final answer
    x = 33,857.89

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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.