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Finding the Fourth Proportional to 57,219.76, 78,962.22 and 33,020.56

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Solution

The fourth proportional to 57,219.76, 78,962.22 and 33,020.56 is: 45,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,219.76 : 78,962.22 = 33,020.56 : x
  2. Step 2: Convert to fraction form
    57,219.76/78,962.22 = 33,020.56/x
  3. Step 3: Cross multiply
    57,219.76x = 78,962.22 × 33,020.56
  4. Step 4: Simplify right side
    57,219.76x = 2,607,376,723.24
  5. Step 5: Solve for x
    x = 2,607,376,723.24/57,219.76
  6. Step 6: Final answer
    x = 45,567.77

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Why These Related Problems?

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