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Finding the Fourth Proportional to 57,218.50, 78,966.18 and 31,727.40

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Solution

The fourth proportional to 57,218.50, 78,966.18 and 31,727.40 is: 43,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,218.50 : 78,966.18 = 31,727.40 : x
  2. Step 2: Convert to fraction form
    57,218.50/78,966.18 = 31,727.40/x
  3. Step 3: Cross multiply
    57,218.50x = 78,966.18 × 31,727.40
  4. Step 4: Simplify right side
    57,218.50x = 2,505,391,579.33
  5. Step 5: Solve for x
    x = 2,505,391,579.33/57,218.50
  6. Step 6: Final answer
    x = 43,786.39

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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.