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Finding the Fourth Proportional to 33,005.25, 49,502.65 and 10,513.02

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Solution

The fourth proportional to 33,005.25, 49,502.65 and 10,513.02 is: 15,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.25 : 49,502.65 = 10,513.02 : x
  2. Step 2: Convert to fraction form
    33,005.25/49,502.65 = 10,513.02/x
  3. Step 3: Cross multiply
    33,005.25x = 49,502.65 × 10,513.02
  4. Step 4: Simplify right side
    33,005.25x = 520,422,137.59
  5. Step 5: Solve for x
    x = 520,422,137.59/33,005.25
  6. Step 6: Final answer
    x = 15,767.86

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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.