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Finding the Fourth Proportional to 33,020.16, 49,530.29 and 9,646.59

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Solution

The fourth proportional to 33,020.16, 49,530.29 and 9,646.59 is: 14,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,020.16 : 49,530.29 = 9,646.59 : x
  2. Step 2: Convert to fraction form
    33,020.16/49,530.29 = 9,646.59/x
  3. Step 3: Cross multiply
    33,020.16x = 49,530.29 × 9,646.59
  4. Step 4: Simplify right side
    33,020.16x = 477,798,537.72
  5. Step 5: Solve for x
    x = 477,798,537.72/33,020.16
  6. Step 6: Final answer
    x = 14,469.91

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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.