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Finding the Fourth Proportional to 29,141.64, 40,145.22 and 23,171.40

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Solution

The fourth proportional to 29,141.64, 40,145.22 and 23,171.40 is: 31,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,141.64 : 40,145.22 = 23,171.40 : x
  2. Step 2: Convert to fraction form
    29,141.64/40,145.22 = 23,171.40/x
  3. Step 3: Cross multiply
    29,141.64x = 40,145.22 × 23,171.40
  4. Step 4: Simplify right side
    29,141.64x = 930,220,950.71
  5. Step 5: Solve for x
    x = 930,220,950.71/29,141.64
  6. Step 6: Final answer
    x = 31,920.68

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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.