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Finding the Fourth Proportional to 73,164.62, 109,746.97 and 20,574.10

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Solution

The fourth proportional to 73,164.62, 109,746.97 and 20,574.10 is: 30,861.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164.62 : 109,746.97 = 20,574.10 : x
  2. Step 2: Convert to fraction form
    73,164.62/109,746.97 = 20,574.10/x
  3. Step 3: Cross multiply
    73,164.62x = 109,746.97 × 20,574.10
  4. Step 4: Simplify right side
    73,164.62x = 2,257,945,135.48
  5. Step 5: Solve for x
    x = 2,257,945,135.48/73,164.62
  6. Step 6: Final answer
    x = 30,861.16

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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.