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Finding the Fourth Proportional to 71,401.54, 106,902.63 and 53,816.26

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Solution

The fourth proportional to 71,401.54, 106,902.63 and 53,816.26 is: 80,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,401.54 : 106,902.63 = 53,816.26 : x
  2. Step 2: Convert to fraction form
    71,401.54/106,902.63 = 53,816.26/x
  3. Step 3: Cross multiply
    71,401.54x = 106,902.63 × 53,816.26
  4. Step 4: Simplify right side
    71,401.54x = 5,753,099,730.76
  5. Step 5: Solve for x
    x = 5,753,099,730.76/71,401.54
  6. Step 6: Final answer
    x = 80,573.89

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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.