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Finding the Fourth Proportional to 54,885.91, 75,742.91 and 29,735.41

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Solution

The fourth proportional to 54,885.91, 75,742.91 and 29,735.41 is: 41,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,885.91 : 75,742.91 = 29,735.41 : x
  2. Step 2: Convert to fraction form
    54,885.91/75,742.91 = 29,735.41/x
  3. Step 3: Cross multiply
    54,885.91x = 75,742.91 × 29,735.41
  4. Step 4: Simplify right side
    54,885.91x = 2,252,246,179.07
  5. Step 5: Solve for x
    x = 2,252,246,179.07/54,885.91
  6. Step 6: Final answer
    x = 41,035.06

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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.