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Finding the Fourth Proportional to 50,648.46, 69,894.61 and 27,989.03

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Solution

The fourth proportional to 50,648.46, 69,894.61 and 27,989.03 is: 38,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,648.46 : 69,894.61 = 27,989.03 : x
  2. Step 2: Convert to fraction form
    50,648.46/69,894.61 = 27,989.03/x
  3. Step 3: Cross multiply
    50,648.46x = 69,894.61 × 27,989.03
  4. Step 4: Simplify right side
    50,648.46x = 1,956,281,916.68
  5. Step 5: Solve for x
    x = 1,956,281,916.68/50,648.46
  6. Step 6: Final answer
    x = 38,624.71

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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.