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Finding the Fourth Proportional to 35,468.88, 48,949.49 and 21,677.14

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Solution

The fourth proportional to 35,468.88, 48,949.49 and 21,677.14 is: 29,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,468.88 : 48,949.49 = 21,677.14 : x
  2. Step 2: Convert to fraction form
    35,468.88/48,949.49 = 21,677.14/x
  3. Step 3: Cross multiply
    35,468.88x = 48,949.49 × 21,677.14
  4. Step 4: Simplify right side
    35,468.88x = 1,061,085,028.01
  5. Step 5: Solve for x
    x = 1,061,085,028.01/35,468.88
  6. Step 6: Final answer
    x = 29,915.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.