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Finding the Fourth Proportional to 57,218.76, 78,960.84 and 33,019.56

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Solution

The fourth proportional to 57,218.76, 78,960.84 and 33,019.56 is: 45,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,218.76 : 78,960.84 = 33,019.56 : x
  2. Step 2: Convert to fraction form
    57,218.76/78,960.84 = 33,019.56/x
  3. Step 3: Cross multiply
    57,218.76x = 78,960.84 × 33,019.56
  4. Step 4: Simplify right side
    57,218.76x = 2,607,252,194.03
  5. Step 5: Solve for x
    x = 2,607,252,194.03/57,218.76
  6. Step 6: Final answer
    x = 45,566.39

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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.