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Finding the Fourth Proportional to 33,102.84, 45,696.65 and 19,678.44

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Solution

The fourth proportional to 33,102.84, 45,696.65 and 19,678.44 is: 27,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.84 : 45,696.65 = 19,678.44 : x
  2. Step 2: Convert to fraction form
    33,102.84/45,696.65 = 19,678.44/x
  3. Step 3: Cross multiply
    33,102.84x = 45,696.65 × 19,678.44
  4. Step 4: Simplify right side
    33,102.84x = 899,238,686.83
  5. Step 5: Solve for x
    x = 899,238,686.83/33,102.84
  6. Step 6: Final answer
    x = 27,165.00

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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.