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Finding the Fourth Proportional to 71,032.56, 106,511.76 and 21,105.78

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Solution

The fourth proportional to 71,032.56, 106,511.76 and 21,105.78 is: 31,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,032.56 : 106,511.76 = 21,105.78 : x
  2. Step 2: Convert to fraction form
    71,032.56/106,511.76 = 21,105.78/x
  3. Step 3: Cross multiply
    71,032.56x = 106,511.76 × 21,105.78
  4. Step 4: Simplify right side
    71,032.56x = 2,248,013,773.97
  5. Step 5: Solve for x
    x = 2,248,013,773.97/71,032.56
  6. Step 6: Final answer
    x = 31,647.65

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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.