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Finding the Fourth Proportional to 54,920.38, 75,785.40 and 31,954.44

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Solution

The fourth proportional to 54,920.38, 75,785.40 and 31,954.44 is: 44,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,920.38 : 75,785.40 = 31,954.44 : x
  2. Step 2: Convert to fraction form
    54,920.38/75,785.40 = 31,954.44/x
  3. Step 3: Cross multiply
    54,920.38x = 75,785.40 × 31,954.44
  4. Step 4: Simplify right side
    54,920.38x = 2,421,680,017.18
  5. Step 5: Solve for x
    x = 2,421,680,017.18/54,920.38
  6. Step 6: Final answer
    x = 44,094.38

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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.