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Finding the Fourth Proportional to 31,167.02, 46,722.77 and 11,441

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Solution

The fourth proportional to 31,167.02, 46,722.77 and 11,441 is: 17,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167.02 : 46,722.77 = 11,441 : x
  2. Step 2: Convert to fraction form
    31,167.02/46,722.77 = 11,441/x
  3. Step 3: Cross multiply
    31,167.02x = 46,722.77 × 11,441
  4. Step 4: Simplify right side
    31,167.02x = 534,555,211.57
  5. Step 5: Solve for x
    x = 534,555,211.57/31,167.02
  6. Step 6: Final answer
    x = 17,151.31

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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.