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Finding the Fourth Proportional to 50,676.87, 69,894.14 and 47,281.53

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Solution

The fourth proportional to 50,676.87, 69,894.14 and 47,281.53 is: 65,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,676.87 : 69,894.14 = 47,281.53 : x
  2. Step 2: Convert to fraction form
    50,676.87/69,894.14 = 47,281.53/x
  3. Step 3: Cross multiply
    50,676.87x = 69,894.14 × 47,281.53
  4. Step 4: Simplify right side
    50,676.87x = 3,304,701,640.83
  5. Step 5: Solve for x
    x = 3,304,701,640.83/50,676.87
  6. Step 6: Final answer
    x = 65,211.24

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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.