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Finding the Fourth Proportional to 31,768.63, 47,642.99 and 11,502.81

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Solution

The fourth proportional to 31,768.63, 47,642.99 and 11,502.81 is: 17,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768.63 : 47,642.99 = 11,502.81 : x
  2. Step 2: Convert to fraction form
    31,768.63/47,642.99 = 11,502.81/x
  3. Step 3: Cross multiply
    31,768.63x = 47,642.99 × 11,502.81
  4. Step 4: Simplify right side
    31,768.63x = 548,028,204.29
  5. Step 5: Solve for x
    x = 548,028,204.29/31,768.63
  6. Step 6: Final answer
    x = 17,250.61

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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.