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Finding the Fourth Proportional to 31,160.94, 43,005.87 and 17,735.46

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Solution

The fourth proportional to 31,160.94, 43,005.87 and 17,735.46 is: 24,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160.94 : 43,005.87 = 17,735.46 : x
  2. Step 2: Convert to fraction form
    31,160.94/43,005.87 = 17,735.46/x
  3. Step 3: Cross multiply
    31,160.94x = 43,005.87 × 17,735.46
  4. Step 4: Simplify right side
    31,160.94x = 762,728,887.15
  5. Step 5: Solve for x
    x = 762,728,887.15/31,160.94
  6. Step 6: Final answer
    x = 24,477.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.