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Finding the Fourth Proportional to 31,856.64, 47,797.92 and 11,081.76

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Solution

The fourth proportional to 31,856.64, 47,797.92 and 11,081.76 is: 16,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,856.64 : 47,797.92 = 11,081.76 : x
  2. Step 2: Convert to fraction form
    31,856.64/47,797.92 = 11,081.76/x
  3. Step 3: Cross multiply
    31,856.64x = 47,797.92 × 11,081.76
  4. Step 4: Simplify right side
    31,856.64x = 529,685,077.94
  5. Step 5: Solve for x
    x = 529,685,077.94/31,856.64
  6. Step 6: Final answer
    x = 16,627.15

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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.