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Finding the Fourth Proportional to 31,383.18, 47,073.42 and 8,009.10

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Solution

The fourth proportional to 31,383.18, 47,073.42 and 8,009.10 is: 12,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383.18 : 47,073.42 = 8,009.10 : x
  2. Step 2: Convert to fraction form
    31,383.18/47,073.42 = 8,009.10/x
  3. Step 3: Cross multiply
    31,383.18x = 47,073.42 × 8,009.10
  4. Step 4: Simplify right side
    31,383.18x = 377,015,728.12
  5. Step 5: Solve for x
    x = 377,015,728.12/31,383.18
  6. Step 6: Final answer
    x = 12,013.31

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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.