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Finding the Fourth Proportional to 33,115.80, 49,656.60 and 9,739.20

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Solution

The fourth proportional to 33,115.80, 49,656.60 and 9,739.20 is: 14,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,115.80 : 49,656.60 = 9,739.20 : x
  2. Step 2: Convert to fraction form
    33,115.80/49,656.60 = 9,739.20/x
  3. Step 3: Cross multiply
    33,115.80x = 49,656.60 × 9,739.20
  4. Step 4: Simplify right side
    33,115.80x = 483,615,558.72
  5. Step 5: Solve for x
    x = 483,615,558.72/33,115.80
  6. Step 6: Final answer
    x = 14,603.77

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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.