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Finding the Fourth Proportional to 50,586.81, 69,813.66 and 27,930.15

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Solution

The fourth proportional to 50,586.81, 69,813.66 and 27,930.15 is: 38,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,586.81 : 69,813.66 = 27,930.15 : x
  2. Step 2: Convert to fraction form
    50,586.81/69,813.66 = 27,930.15/x
  3. Step 3: Cross multiply
    50,586.81x = 69,813.66 × 27,930.15
  4. Step 4: Simplify right side
    50,586.81x = 1,949,905,995.85
  5. Step 5: Solve for x
    x = 1,949,905,995.85/50,586.81
  6. Step 6: Final answer
    x = 38,545.74

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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.