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Finding the Fourth Proportional to 75,313.89, 112,968.09 and 22,722

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Solution

The fourth proportional to 75,313.89, 112,968.09 and 22,722 is: 34,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313.89 : 112,968.09 = 22,722 : x
  2. Step 2: Convert to fraction form
    75,313.89/112,968.09 = 22,722/x
  3. Step 3: Cross multiply
    75,313.89x = 112,968.09 × 22,722
  4. Step 4: Simplify right side
    75,313.89x = 2,566,860,940.98
  5. Step 5: Solve for x
    x = 2,566,860,940.98/75,313.89
  6. Step 6: Final answer
    x = 34,082.17

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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.