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Finding the Fourth Proportional to 71,434.80, 106,955.37 and 36,202.23

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Solution

The fourth proportional to 71,434.80, 106,955.37 and 36,202.23 is: 54,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,434.80 : 106,955.37 = 36,202.23 : x
  2. Step 2: Convert to fraction form
    71,434.80/106,955.37 = 36,202.23/x
  3. Step 3: Cross multiply
    71,434.80x = 106,955.37 × 36,202.23
  4. Step 4: Simplify right side
    71,434.80x = 3,872,022,904.48
  5. Step 5: Solve for x
    x = 3,872,022,904.48/71,434.80
  6. Step 6: Final answer
    x = 54,203.59

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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.