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Finding the Fourth Proportional to 31,383.54, 47,069.23 and 8,894.02

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Solution

The fourth proportional to 31,383.54, 47,069.23 and 8,894.02 is: 13,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383.54 : 47,069.23 = 8,894.02 : x
  2. Step 2: Convert to fraction form
    31,383.54/47,069.23 = 8,894.02/x
  3. Step 3: Cross multiply
    31,383.54x = 47,069.23 × 8,894.02
  4. Step 4: Simplify right side
    31,383.54x = 418,634,673.00
  5. Step 5: Solve for x
    x = 418,634,673.00/31,383.54
  6. Step 6: Final answer
    x = 13,339.31

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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.