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Finding the Fourth Proportional to 33,533.81, 50,308.49 and 9,840.39

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Solution

The fourth proportional to 33,533.81, 50,308.49 and 9,840.39 is: 14,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,533.81 : 50,308.49 = 9,840.39 : x
  2. Step 2: Convert to fraction form
    33,533.81/50,308.49 = 9,840.39/x
  3. Step 3: Cross multiply
    33,533.81x = 50,308.49 × 9,840.39
  4. Step 4: Simplify right side
    33,533.81x = 495,055,186.51
  5. Step 5: Solve for x
    x = 495,055,186.51/33,533.81
  6. Step 6: Final answer
    x = 14,762.87

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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.