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Finding the Fourth Proportional to 38,745.50, 58,143.76 and 13,785.14

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Solution

The fourth proportional to 38,745.50, 58,143.76 and 13,785.14 is: 20,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,745.50 : 58,143.76 = 13,785.14 : x
  2. Step 2: Convert to fraction form
    38,745.50/58,143.76 = 13,785.14/x
  3. Step 3: Cross multiply
    38,745.50x = 58,143.76 × 13,785.14
  4. Step 4: Simplify right side
    38,745.50x = 801,519,871.73
  5. Step 5: Solve for x
    x = 801,519,871.73/38,745.50
  6. Step 6: Final answer
    x = 20,686.79

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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.