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Finding the Fourth Proportional to 33,005.81, 45,536.08 and 21,681.40

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Solution

The fourth proportional to 33,005.81, 45,536.08 and 21,681.40 is: 29,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.81 : 45,536.08 = 21,681.40 : x
  2. Step 2: Convert to fraction form
    33,005.81/45,536.08 = 21,681.40/x
  3. Step 3: Cross multiply
    33,005.81x = 45,536.08 × 21,681.40
  4. Step 4: Simplify right side
    33,005.81x = 987,285,856.51
  5. Step 5: Solve for x
    x = 987,285,856.51/33,005.81
  6. Step 6: Final answer
    x = 29,912.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.