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Finding the Fourth Proportional to 34,034.67, 50,993.38 and 26,553

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Solution

The fourth proportional to 34,034.67, 50,993.38 and 26,553 is: 39,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,034.67 : 50,993.38 = 26,553 : x
  2. Step 2: Convert to fraction form
    34,034.67/50,993.38 = 26,553/x
  3. Step 3: Cross multiply
    34,034.67x = 50,993.38 × 26,553
  4. Step 4: Simplify right side
    34,034.67x = 1,354,027,219.14
  5. Step 5: Solve for x
    x = 1,354,027,219.14/34,034.67
  6. Step 6: Final answer
    x = 39,783.76

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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.