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Finding the Fourth Proportional to 29,709.78, 44,498.67 and 21,260.53

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Solution

The fourth proportional to 29,709.78, 44,498.67 and 21,260.53 is: 31,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.78 : 44,498.67 = 21,260.53 : x
  2. Step 2: Convert to fraction form
    29,709.78/44,498.67 = 21,260.53/x
  3. Step 3: Cross multiply
    29,709.78x = 44,498.67 × 21,260.53
  4. Step 4: Simplify right side
    29,709.78x = 946,065,308.50
  5. Step 5: Solve for x
    x = 946,065,308.50/29,709.78
  6. Step 6: Final answer
    x = 31,843.56

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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.