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Finding the Fourth Proportional to 71,141.88, 106,713.21 and 21,221.58

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Solution

The fourth proportional to 71,141.88, 106,713.21 and 21,221.58 is: 31,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,141.88 : 106,713.21 = 21,221.58 : x
  2. Step 2: Convert to fraction form
    71,141.88/106,713.21 = 21,221.58/x
  3. Step 3: Cross multiply
    71,141.88x = 106,713.21 × 21,221.58
  4. Step 4: Simplify right side
    71,141.88x = 2,264,622,923.07
  5. Step 5: Solve for x
    x = 2,264,622,923.07/71,141.88
  6. Step 6: Final answer
    x = 31,832.49

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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.