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Finding the Fourth Proportional to 73,731.06, 101,750.31 and 40,197.06

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Solution

The fourth proportional to 73,731.06, 101,750.31 and 40,197.06 is: 55,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,731.06 : 101,750.31 = 40,197.06 : x
  2. Step 2: Convert to fraction form
    73,731.06/101,750.31 = 40,197.06/x
  3. Step 3: Cross multiply
    73,731.06x = 101,750.31 × 40,197.06
  4. Step 4: Simplify right side
    73,731.06x = 4,090,063,316.09
  5. Step 5: Solve for x
    x = 4,090,063,316.09/73,731.06
  6. Step 6: Final answer
    x = 55,472.73

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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.