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Finding the Fourth Proportional to 50,446.51, 69,616.65 and 27,785.58

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Solution

The fourth proportional to 50,446.51, 69,616.65 and 27,785.58 is: 38,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,446.51 : 69,616.65 = 27,785.58 : x
  2. Step 2: Convert to fraction form
    50,446.51/69,616.65 = 27,785.58/x
  3. Step 3: Cross multiply
    50,446.51x = 69,616.65 × 27,785.58
  4. Step 4: Simplify right side
    50,446.51x = 1,934,339,363.17
  5. Step 5: Solve for x
    x = 1,934,339,363.17/50,446.51
  6. Step 6: Final answer
    x = 38,344.36

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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.