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Finding the Fourth Proportional to 72,016.20, 100,589.40 and 72,016.20

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Solution

The fourth proportional to 72,016.20, 100,589.40 and 72,016.20 is: 100,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,016.20 : 100,589.40 = 72,016.20 : x
  2. Step 2: Convert to fraction form
    72,016.20/100,589.40 = 72,016.20/x
  3. Step 3: Cross multiply
    72,016.20x = 100,589.40 × 72,016.20
  4. Step 4: Simplify right side
    72,016.20x = 7,244,066,348.28
  5. Step 5: Solve for x
    x = 7,244,066,348.28/72,016.20
  6. Step 6: Final answer
    x = 100,589.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.