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Finding the Fourth Proportional to 29,753.84, 41,062.20 and 19,664.58

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Solution

The fourth proportional to 29,753.84, 41,062.20 and 19,664.58 is: 27,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,753.84 : 41,062.20 = 19,664.58 : x
  2. Step 2: Convert to fraction form
    29,753.84/41,062.20 = 19,664.58/x
  3. Step 3: Cross multiply
    29,753.84x = 41,062.20 × 19,664.58
  4. Step 4: Simplify right side
    29,753.84x = 807,470,916.88
  5. Step 5: Solve for x
    x = 807,470,916.88/29,753.84
  6. Step 6: Final answer
    x = 27,138.38

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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.