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Finding the Fourth Proportional to 32,853.39, 49,291.01 and 10,667.49

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Solution

The fourth proportional to 32,853.39, 49,291.01 and 10,667.49 is: 16,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.39 : 49,291.01 = 10,667.49 : x
  2. Step 2: Convert to fraction form
    32,853.39/49,291.01 = 10,667.49/x
  3. Step 3: Cross multiply
    32,853.39x = 49,291.01 × 10,667.49
  4. Step 4: Simplify right side
    32,853.39x = 525,811,356.26
  5. Step 5: Solve for x
    x = 525,811,356.26/32,853.39
  6. Step 6: Final answer
    x = 16,004.78

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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.