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Finding the Fourth Proportional to 31,666.36, 47,504.40 and 10,885

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Solution

The fourth proportional to 31,666.36, 47,504.40 and 10,885 is: 16,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.36 : 47,504.40 = 10,885 : x
  2. Step 2: Convert to fraction form
    31,666.36/47,504.40 = 10,885/x
  3. Step 3: Cross multiply
    31,666.36x = 47,504.40 × 10,885
  4. Step 4: Simplify right side
    31,666.36x = 517,085,394
  5. Step 5: Solve for x
    x = 517,085,394/31,666.36
  6. Step 6: Final answer
    x = 16,329.17

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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.