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Finding the Fourth Proportional to 73,686.86, 110,437.82 and 31,517.36

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Solution

The fourth proportional to 73,686.86, 110,437.82 and 31,517.36 is: 47,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,686.86 : 110,437.82 = 31,517.36 : x
  2. Step 2: Convert to fraction form
    73,686.86/110,437.82 = 31,517.36/x
  3. Step 3: Cross multiply
    73,686.86x = 110,437.82 × 31,517.36
  4. Step 4: Simplify right side
    73,686.86x = 3,480,708,372.97
  5. Step 5: Solve for x
    x = 3,480,708,372.97/73,686.86
  6. Step 6: Final answer
    x = 47,236.49

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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.