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Finding the Fourth Proportional to 57,561.54, 86,319.63 and 27,970.62

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Solution

The fourth proportional to 57,561.54, 86,319.63 and 27,970.62 is: 41,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,561.54 : 86,319.63 = 27,970.62 : x
  2. Step 2: Convert to fraction form
    57,561.54/86,319.63 = 27,970.62/x
  3. Step 3: Cross multiply
    57,561.54x = 86,319.63 × 27,970.62
  4. Step 4: Simplify right side
    57,561.54x = 2,414,413,569.27
  5. Step 5: Solve for x
    x = 2,414,413,569.27/57,561.54
  6. Step 6: Final answer
    x = 41,944.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.