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Finding the Fourth Proportional to 73,766.25, 110,649.44 and 31,618.98

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Solution

The fourth proportional to 73,766.25, 110,649.44 and 31,618.98 is: 47,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,766.25 : 110,649.44 = 31,618.98 : x
  2. Step 2: Convert to fraction form
    73,766.25/110,649.44 = 31,618.98/x
  3. Step 3: Cross multiply
    73,766.25x = 110,649.44 × 31,618.98
  4. Step 4: Simplify right side
    73,766.25x = 3,498,622,430.37
  5. Step 5: Solve for x
    x = 3,498,622,430.37/73,766.25
  6. Step 6: Final answer
    x = 47,428.50

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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.