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Finding the Fourth Proportional to 50,062, 75,034.68 and 27,864.76

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Solution

The fourth proportional to 50,062, 75,034.68 and 27,864.76 is: 41,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,062 : 75,034.68 = 27,864.76 : x
  2. Step 2: Convert to fraction form
    50,062/75,034.68 = 27,864.76/x
  3. Step 3: Cross multiply
    50,062x = 75,034.68 × 27,864.76
  4. Step 4: Simplify right side
    50,062x = 2,090,823,349.88
  5. Step 5: Solve for x
    x = 2,090,823,349.88/50,062
  6. Step 6: Final answer
    x = 41,764.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.