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Finding the Fourth Proportional to 31,455.36, 47,182.86 and 8,081.64

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Solution

The fourth proportional to 31,455.36, 47,182.86 and 8,081.64 is: 12,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,455.36 : 47,182.86 = 8,081.64 : x
  2. Step 2: Convert to fraction form
    31,455.36/47,182.86 = 8,081.64/x
  3. Step 3: Cross multiply
    31,455.36x = 47,182.86 × 8,081.64
  4. Step 4: Simplify right side
    31,455.36x = 381,314,888.69
  5. Step 5: Solve for x
    x = 381,314,888.69/31,455.36
  6. Step 6: Final answer
    x = 12,122.41

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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.