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Finding the Fourth Proportional to 72,209.24, 108,223.14 and 34,738.64

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Solution

The fourth proportional to 72,209.24, 108,223.14 and 34,738.64 is: 52,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,209.24 : 108,223.14 = 34,738.64 : x
  2. Step 2: Convert to fraction form
    72,209.24/108,223.14 = 34,738.64/x
  3. Step 3: Cross multiply
    72,209.24x = 108,223.14 × 34,738.64
  4. Step 4: Simplify right side
    72,209.24x = 3,759,524,700.13
  5. Step 5: Solve for x
    x = 3,759,524,700.13/72,209.24
  6. Step 6: Final answer
    x = 52,064.32

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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.