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Finding the Fourth Proportional to 51,063, 76,594.02 and 27,837

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Solution

The fourth proportional to 51,063, 76,594.02 and 27,837 is: 41,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,063 : 76,594.02 = 27,837 : x
  2. Step 2: Convert to fraction form
    51,063/76,594.02 = 27,837/x
  3. Step 3: Cross multiply
    51,063x = 76,594.02 × 27,837
  4. Step 4: Simplify right side
    51,063x = 2,132,147,734.74
  5. Step 5: Solve for x
    x = 2,132,147,734.74/51,063
  6. Step 6: Final answer
    x = 41,755.24

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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.