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Finding the Fourth Proportional to 50,992.18, 76,462 and 22,888.14

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Solution

The fourth proportional to 50,992.18, 76,462 and 22,888.14 is: 34,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,992.18 : 76,462 = 22,888.14 : x
  2. Step 2: Convert to fraction form
    50,992.18/76,462 = 22,888.14/x
  3. Step 3: Cross multiply
    50,992.18x = 76,462 × 22,888.14
  4. Step 4: Simplify right side
    50,992.18x = 1,750,072,960.68
  5. Step 5: Solve for x
    x = 1,750,072,960.68/50,992.18
  6. Step 6: Final answer
    x = 34,320.42

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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.