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Finding the Fourth Proportional to 31,066.94, 46,601.97 and 8,883.59

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Solution

The fourth proportional to 31,066.94, 46,601.97 and 8,883.59 is: 13,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.94 : 46,601.97 = 8,883.59 : x
  2. Step 2: Convert to fraction form
    31,066.94/46,601.97 = 8,883.59/x
  3. Step 3: Cross multiply
    31,066.94x = 46,601.97 × 8,883.59
  4. Step 4: Simplify right side
    31,066.94x = 413,992,631.36
  5. Step 5: Solve for x
    x = 413,992,631.36/31,066.94
  6. Step 6: Final answer
    x = 13,325.82

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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.