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Finding the Fourth Proportional to 31,288.41, 46,932.77 and 7,914.87

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Solution

The fourth proportional to 31,288.41, 46,932.77 and 7,914.87 is: 11,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288.41 : 46,932.77 = 7,914.87 : x
  2. Step 2: Convert to fraction form
    31,288.41/46,932.77 = 7,914.87/x
  3. Step 3: Cross multiply
    31,288.41x = 46,932.77 × 7,914.87
  4. Step 4: Simplify right side
    31,288.41x = 371,466,773.29
  5. Step 5: Solve for x
    x = 371,466,773.29/31,288.41
  6. Step 6: Final answer
    x = 11,872.34

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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.