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Finding the Fourth Proportional to 31,610.25, 43,622.55 and 17,464.41

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Solution

The fourth proportional to 31,610.25, 43,622.55 and 17,464.41 is: 24,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.25 : 43,622.55 = 17,464.41 : x
  2. Step 2: Convert to fraction form
    31,610.25/43,622.55 = 17,464.41/x
  3. Step 3: Cross multiply
    31,610.25x = 43,622.55 × 17,464.41
  4. Step 4: Simplify right side
    31,610.25x = 761,842,098.45
  5. Step 5: Solve for x
    x = 761,842,098.45/31,610.25
  6. Step 6: Final answer
    x = 24,101.11

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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.