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Finding the Fourth Proportional to 57,932.86, 86,932.17 and 31,278.50

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Solution

The fourth proportional to 57,932.86, 86,932.17 and 31,278.50 is: 46,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,932.86 : 86,932.17 = 31,278.50 : x
  2. Step 2: Convert to fraction form
    57,932.86/86,932.17 = 31,278.50/x
  3. Step 3: Cross multiply
    57,932.86x = 86,932.17 × 31,278.50
  4. Step 4: Simplify right side
    57,932.86x = 2,719,107,327.39
  5. Step 5: Solve for x
    x = 2,719,107,327.39/57,932.86
  6. Step 6: Final answer
    x = 46,935.49

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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.