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Finding the Fourth Proportional to 33,009.80, 49,514.70 and 9,633.20

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Solution

The fourth proportional to 33,009.80, 49,514.70 and 9,633.20 is: 14,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009.80 : 49,514.70 = 9,633.20 : x
  2. Step 2: Convert to fraction form
    33,009.80/49,514.70 = 9,633.20/x
  3. Step 3: Cross multiply
    33,009.80x = 49,514.70 × 9,633.20
  4. Step 4: Simplify right side
    33,009.80x = 476,985,008.04
  5. Step 5: Solve for x
    x = 476,985,008.04/33,009.80
  6. Step 6: Final answer
    x = 14,449.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.