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Finding the Fourth Proportional to 62,286.88, 85,967.04 and 37,138

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Solution

The fourth proportional to 62,286.88, 85,967.04 and 37,138 is: 51,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,286.88 : 85,967.04 = 37,138 : x
  2. Step 2: Convert to fraction form
    62,286.88/85,967.04 = 37,138/x
  3. Step 3: Cross multiply
    62,286.88x = 85,967.04 × 37,138
  4. Step 4: Simplify right side
    62,286.88x = 3,192,643,931.52
  5. Step 5: Solve for x
    x = 3,192,643,931.52/62,286.88
  6. Step 6: Final answer
    x = 51,257.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.