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Finding the Fourth Proportional to 55,603.94, 76,738.95 and 31,734.23

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Solution

The fourth proportional to 55,603.94, 76,738.95 and 31,734.23 is: 43,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,603.94 : 76,738.95 = 31,734.23 : x
  2. Step 2: Convert to fraction form
    55,603.94/76,738.95 = 31,734.23/x
  3. Step 3: Cross multiply
    55,603.94x = 76,738.95 × 31,734.23
  4. Step 4: Simplify right side
    55,603.94x = 2,435,251,105.56
  5. Step 5: Solve for x
    x = 2,435,251,105.56/55,603.94
  6. Step 6: Final answer
    x = 43,796.38

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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.