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Finding the Fourth Proportional to 72,996.36, 100,731.92 and 41,168.22

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Solution

The fourth proportional to 72,996.36, 100,731.92 and 41,168.22 is: 56,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,996.36 : 100,731.92 = 41,168.22 : x
  2. Step 2: Convert to fraction form
    72,996.36/100,731.92 = 41,168.22/x
  3. Step 3: Cross multiply
    72,996.36x = 100,731.92 × 41,168.22
  4. Step 4: Simplify right side
    72,996.36x = 4,146,953,637.74
  5. Step 5: Solve for x
    x = 4,146,953,637.74/72,996.36
  6. Step 6: Final answer
    x = 56,810.42

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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.