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Finding the Fourth Proportional to 87,948, 131,922 and 22,284

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Solution

The fourth proportional to 87,948, 131,922 and 22,284 is: 33,426

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,948 : 131,922 = 22,284 : x
  2. Step 2: Convert to fraction form
    87,948/131,922 = 22,284/x
  3. Step 3: Cross multiply
    87,948x = 131,922 × 22,284
  4. Step 4: Simplify right side
    87,948x = 2,939,749,848
  5. Step 5: Solve for x
    x = 2,939,749,848/87,948
  6. Step 6: Final answer
    x = 33,426

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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.