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Finding the Fourth Proportional to 38,404.10, 57,606.15 and 31,843.10

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Solution

The fourth proportional to 38,404.10, 57,606.15 and 31,843.10 is: 47,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,404.10 : 57,606.15 = 31,843.10 : x
  2. Step 2: Convert to fraction form
    38,404.10/57,606.15 = 31,843.10/x
  3. Step 3: Cross multiply
    38,404.10x = 57,606.15 × 31,843.10
  4. Step 4: Simplify right side
    38,404.10x = 1,834,358,395.07
  5. Step 5: Solve for x
    x = 1,834,358,395.07/38,404.10
  6. Step 6: Final answer
    x = 47,764.65

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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.