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Finding the Fourth Proportional to 54,989.38, 75,885.54 and 29,838.88

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Solution

The fourth proportional to 54,989.38, 75,885.54 and 29,838.88 is: 41,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,989.38 : 75,885.54 = 29,838.88 : x
  2. Step 2: Convert to fraction form
    54,989.38/75,885.54 = 29,838.88/x
  3. Step 3: Cross multiply
    54,989.38x = 75,885.54 × 29,838.88
  4. Step 4: Simplify right side
    54,989.38x = 2,264,339,142.37
  5. Step 5: Solve for x
    x = 2,264,339,142.37/54,989.38
  6. Step 6: Final answer
    x = 41,177.76

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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.