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Finding the Fourth Proportional to 73,054.88, 100,816.56 and 41,224.16

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Solution

The fourth proportional to 73,054.88, 100,816.56 and 41,224.16 is: 56,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,054.88 : 100,816.56 = 41,224.16 : x
  2. Step 2: Convert to fraction form
    73,054.88/100,816.56 = 41,224.16/x
  3. Step 3: Cross multiply
    73,054.88x = 100,816.56 × 41,224.16
  4. Step 4: Simplify right side
    73,054.88x = 4,156,078,000.09
  5. Step 5: Solve for x
    x = 4,156,078,000.09/73,054.88
  6. Step 6: Final answer
    x = 56,889.81

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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.