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Finding the Fourth Proportional to 33,039, 49,548.78 and 9,659.88

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Solution

The fourth proportional to 33,039, 49,548.78 and 9,659.88 is: 14,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,039 : 49,548.78 = 9,659.88 : x
  2. Step 2: Convert to fraction form
    33,039/49,548.78 = 9,659.88/x
  3. Step 3: Cross multiply
    33,039x = 49,548.78 × 9,659.88
  4. Step 4: Simplify right side
    33,039x = 478,635,268.95
  5. Step 5: Solve for x
    x = 478,635,268.95/33,039
  6. Step 6: Final answer
    x = 14,486.98

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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.