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Finding the Fourth Proportional to 71,003.88, 106,428.80 and 35,005.28

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Solution

The fourth proportional to 71,003.88, 106,428.80 and 35,005.28 is: 52,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,003.88 : 106,428.80 = 35,005.28 : x
  2. Step 2: Convert to fraction form
    71,003.88/106,428.80 = 35,005.28/x
  3. Step 3: Cross multiply
    71,003.88x = 106,428.80 × 35,005.28
  4. Step 4: Simplify right side
    71,003.88x = 3,725,569,944.06
  5. Step 5: Solve for x
    x = 3,725,569,944.06/71,003.88
  6. Step 6: Final answer
    x = 52,469.95

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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.