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Finding the Fourth Proportional to 73,052.16, 100,815.12 and 41,221.20

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Solution

The fourth proportional to 73,052.16, 100,815.12 and 41,221.20 is: 56,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,052.16 : 100,815.12 = 41,221.20 : x
  2. Step 2: Convert to fraction form
    73,052.16/100,815.12 = 41,221.20/x
  3. Step 3: Cross multiply
    73,052.16x = 100,815.12 × 41,221.20
  4. Step 4: Simplify right side
    73,052.16x = 4,155,720,224.54
  5. Step 5: Solve for x
    x = 4,155,720,224.54/73,052.16
  6. Step 6: Final answer
    x = 56,887.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.