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Finding the Fourth Proportional to 71,654.72, 106,579.96 and 71,414.96

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Solution

The fourth proportional to 71,654.72, 106,579.96 and 71,414.96 is: 106,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,654.72 : 106,579.96 = 71,414.96 : x
  2. Step 2: Convert to fraction form
    71,654.72/106,579.96 = 71,414.96/x
  3. Step 3: Cross multiply
    71,654.72x = 106,579.96 × 71,414.96
  4. Step 4: Simplify right side
    71,654.72x = 7,611,403,580.20
  5. Step 5: Solve for x
    x = 7,611,403,580.20/71,654.72
  6. Step 6: Final answer
    x = 106,223.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.