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Finding the Fourth Proportional to 76,122.84, 114,053.01 and 50,461.44

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Solution

The fourth proportional to 76,122.84, 114,053.01 and 50,461.44 is: 75,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,122.84 : 114,053.01 = 50,461.44 : x
  2. Step 2: Convert to fraction form
    76,122.84/114,053.01 = 50,461.44/x
  3. Step 3: Cross multiply
    76,122.84x = 114,053.01 × 50,461.44
  4. Step 4: Simplify right side
    76,122.84x = 5,755,279,120.93
  5. Step 5: Solve for x
    x = 5,755,279,120.93/76,122.84
  6. Step 6: Final answer
    x = 75,605.16

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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.