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Finding the Fourth Proportional to 31,383.02, 47,074.91 and 9,196.84

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Solution

The fourth proportional to 31,383.02, 47,074.91 and 9,196.84 is: 13,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383.02 : 47,074.91 = 9,196.84 : x
  2. Step 2: Convert to fraction form
    31,383.02/47,074.91 = 9,196.84/x
  3. Step 3: Cross multiply
    31,383.02x = 47,074.91 × 9,196.84
  4. Step 4: Simplify right side
    31,383.02x = 432,940,415.28
  5. Step 5: Solve for x
    x = 432,940,415.28/31,383.02
  6. Step 6: Final answer
    x = 13,795.37

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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.