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Finding the Fourth Proportional to 71,270.66, 106,945.14 and 36,213.32

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Solution

The fourth proportional to 71,270.66, 106,945.14 and 36,213.32 is: 54,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,270.66 : 106,945.14 = 36,213.32 : x
  2. Step 2: Convert to fraction form
    71,270.66/106,945.14 = 36,213.32/x
  3. Step 3: Cross multiply
    71,270.66x = 106,945.14 × 36,213.32
  4. Step 4: Simplify right side
    71,270.66x = 3,872,838,577.26
  5. Step 5: Solve for x
    x = 3,872,838,577.26/71,270.66
  6. Step 6: Final answer
    x = 54,339.87

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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.