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Finding the Fourth Proportional to 54,894.42, 75,754.89 and 31,021.38

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Solution

The fourth proportional to 54,894.42, 75,754.89 and 31,021.38 is: 42,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,894.42 : 75,754.89 = 31,021.38 : x
  2. Step 2: Convert to fraction form
    54,894.42/75,754.89 = 31,021.38/x
  3. Step 3: Cross multiply
    54,894.42x = 75,754.89 × 31,021.38
  4. Step 4: Simplify right side
    54,894.42x = 2,350,021,229.55
  5. Step 5: Solve for x
    x = 2,350,021,229.55/54,894.42
  6. Step 6: Final answer
    x = 42,809.84

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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.