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Finding the Fourth Proportional to 54,833.64, 75,669.84 and 30,958.89

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Solution

The fourth proportional to 54,833.64, 75,669.84 and 30,958.89 is: 42,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,833.64 : 75,669.84 = 30,958.89 : x
  2. Step 2: Convert to fraction form
    54,833.64/75,669.84 = 30,958.89/x
  3. Step 3: Cross multiply
    54,833.64x = 75,669.84 × 30,958.89
  4. Step 4: Simplify right side
    54,833.64x = 2,342,654,252.88
  5. Step 5: Solve for x
    x = 2,342,654,252.88/54,833.64
  6. Step 6: Final answer
    x = 42,722.94

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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.