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Finding the Fourth Proportional to 31,354.88, 47,039.86 and 11,633.62

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Solution

The fourth proportional to 31,354.88, 47,039.86 and 11,633.62 is: 17,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,354.88 : 47,039.86 = 11,633.62 : x
  2. Step 2: Convert to fraction form
    31,354.88/47,039.86 = 11,633.62/x
  3. Step 3: Cross multiply
    31,354.88x = 47,039.86 × 11,633.62
  4. Step 4: Simplify right side
    31,354.88x = 547,243,856.09
  5. Step 5: Solve for x
    x = 547,243,856.09/31,354.88
  6. Step 6: Final answer
    x = 17,453.23

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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.