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Finding the Fourth Proportional to 51,731.82, 77,532.79 and 22,114.84

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Solution

The fourth proportional to 51,731.82, 77,532.79 and 22,114.84 is: 33,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,731.82 : 77,532.79 = 22,114.84 : x
  2. Step 2: Convert to fraction form
    51,731.82/77,532.79 = 22,114.84/x
  3. Step 3: Cross multiply
    51,731.82x = 77,532.79 × 22,114.84
  4. Step 4: Simplify right side
    51,731.82x = 1,714,625,245.60
  5. Step 5: Solve for x
    x = 1,714,625,245.60/51,731.82
  6. Step 6: Final answer
    x = 33,144.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.