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Finding the Fourth Proportional to 71,209.76, 106,838.01 and 29,125.24

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Solution

The fourth proportional to 71,209.76, 106,838.01 and 29,125.24 is: 43,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209.76 : 106,838.01 = 29,125.24 : x
  2. Step 2: Convert to fraction form
    71,209.76/106,838.01 = 29,125.24/x
  3. Step 3: Cross multiply
    71,209.76x = 106,838.01 × 29,125.24
  4. Step 4: Simplify right side
    71,209.76x = 3,111,682,415.28
  5. Step 5: Solve for x
    x = 3,111,682,415.28/71,209.76
  6. Step 6: Final answer
    x = 43,697.42

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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.