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Finding the Fourth Proportional to 38,896.99, 58,359.85 and 31,469.40

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Solution

The fourth proportional to 38,896.99, 58,359.85 and 31,469.40 is: 47,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,896.99 : 58,359.85 = 31,469.40 : x
  2. Step 2: Convert to fraction form
    38,896.99/58,359.85 = 31,469.40/x
  3. Step 3: Cross multiply
    38,896.99x = 58,359.85 × 31,469.40
  4. Step 4: Simplify right side
    38,896.99x = 1,836,549,384.92
  5. Step 5: Solve for x
    x = 1,836,549,384.92/38,896.99
  6. Step 6: Final answer
    x = 47,215.72

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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.