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Finding the Fourth Proportional to 50,771.34, 76,046.11 and 21,099.22

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Solution

The fourth proportional to 50,771.34, 76,046.11 and 21,099.22 is: 31,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,771.34 : 76,046.11 = 21,099.22 : x
  2. Step 2: Convert to fraction form
    50,771.34/76,046.11 = 21,099.22/x
  3. Step 3: Cross multiply
    50,771.34x = 76,046.11 × 21,099.22
  4. Step 4: Simplify right side
    50,771.34x = 1,604,513,362.17
  5. Step 5: Solve for x
    x = 1,604,513,362.17/50,771.34
  6. Step 6: Final answer
    x = 31,602.74

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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.