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Finding the Fourth Proportional to 71,146.01, 106,734.86 and 21,226.97

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Solution

The fourth proportional to 71,146.01, 106,734.86 and 21,226.97 is: 31,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146.01 : 106,734.86 = 21,226.97 : x
  2. Step 2: Convert to fraction form
    71,146.01/106,734.86 = 21,226.97/x
  3. Step 3: Cross multiply
    71,146.01x = 106,734.86 × 21,226.97
  4. Step 4: Simplify right side
    71,146.01x = 2,265,657,671.17
  5. Step 5: Solve for x
    x = 2,265,657,671.17/71,146.01
  6. Step 6: Final answer
    x = 31,845.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.