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Finding the Fourth Proportional to 31,331.64, 46,999.00 and 11,605.58

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Solution

The fourth proportional to 31,331.64, 46,999.00 and 11,605.58 is: 17,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,331.64 : 46,999.00 = 11,605.58 : x
  2. Step 2: Convert to fraction form
    31,331.64/46,999.00 = 11,605.58/x
  3. Step 3: Cross multiply
    31,331.64x = 46,999.00 × 11,605.58
  4. Step 4: Simplify right side
    31,331.64x = 545,450,561.22
  5. Step 5: Solve for x
    x = 545,450,561.22/31,331.64
  6. Step 6: Final answer
    x = 17,408.94

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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.