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Finding the Fourth Proportional to 33,005.04, 49,496.04 and 13,278.48

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Solution

The fourth proportional to 33,005.04, 49,496.04 and 13,278.48 is: 19,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.04 : 49,496.04 = 13,278.48 : x
  2. Step 2: Convert to fraction form
    33,005.04/49,496.04 = 13,278.48/x
  3. Step 3: Cross multiply
    33,005.04x = 49,496.04 × 13,278.48
  4. Step 4: Simplify right side
    33,005.04x = 657,232,177.22
  5. Step 5: Solve for x
    x = 657,232,177.22/33,005.04
  6. Step 6: Final answer
    x = 19,913.09

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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.