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Finding the Fourth Proportional to 48,290.85, 72,351.75 and 33,509.16

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Solution

The fourth proportional to 48,290.85, 72,351.75 and 33,509.16 is: 50,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,290.85 : 72,351.75 = 33,509.16 : x
  2. Step 2: Convert to fraction form
    48,290.85/72,351.75 = 33,509.16/x
  3. Step 3: Cross multiply
    48,290.85x = 72,351.75 × 33,509.16
  4. Step 4: Simplify right side
    48,290.85x = 2,424,446,367.03
  5. Step 5: Solve for x
    x = 2,424,446,367.03/48,290.85
  6. Step 6: Final answer
    x = 50,205.09

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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.