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Finding the Fourth Proportional to 72,712.80, 109,054.80 and 35,272.80

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Solution

The fourth proportional to 72,712.80, 109,054.80 and 35,272.80 is: 52,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,712.80 : 109,054.80 = 35,272.80 : x
  2. Step 2: Convert to fraction form
    72,712.80/109,054.80 = 35,272.80/x
  3. Step 3: Cross multiply
    72,712.80x = 109,054.80 × 35,272.80
  4. Step 4: Simplify right side
    72,712.80x = 3,846,668,149.44
  5. Step 5: Solve for x
    x = 3,846,668,149.44/72,712.80
  6. Step 6: Final answer
    x = 52,902.21

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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.