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Finding the Fourth Proportional to 61,198.68, 91,724.21 and 31,600.37

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Solution

The fourth proportional to 61,198.68, 91,724.21 and 31,600.37 is: 47,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,198.68 : 91,724.21 = 31,600.37 : x
  2. Step 2: Convert to fraction form
    61,198.68/91,724.21 = 31,600.37/x
  3. Step 3: Cross multiply
    61,198.68x = 91,724.21 × 31,600.37
  4. Step 4: Simplify right side
    61,198.68x = 2,898,518,973.96
  5. Step 5: Solve for x
    x = 2,898,518,973.96/61,198.68
  6. Step 6: Final answer
    x = 47,362.44

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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.