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Finding the Fourth Proportional to 31,227.24, 46,840.92 and 7,853.70

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Solution

The fourth proportional to 31,227.24, 46,840.92 and 7,853.70 is: 11,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,227.24 : 46,840.92 = 7,853.70 : x
  2. Step 2: Convert to fraction form
    31,227.24/46,840.92 = 7,853.70/x
  3. Step 3: Cross multiply
    31,227.24x = 46,840.92 × 7,853.70
  4. Step 4: Simplify right side
    31,227.24x = 367,874,533.40
  5. Step 5: Solve for x
    x = 367,874,533.40/31,227.24
  6. Step 6: Final answer
    x = 11,780.57

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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.