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Finding the Fourth Proportional to 85,787.84, 128,646.12 and 33,167

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Solution

The fourth proportional to 85,787.84, 128,646.12 and 33,167 is: 49,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,787.84 : 128,646.12 = 33,167 : x
  2. Step 2: Convert to fraction form
    85,787.84/128,646.12 = 33,167/x
  3. Step 3: Cross multiply
    85,787.84x = 128,646.12 × 33,167
  4. Step 4: Simplify right side
    85,787.84x = 4,266,805,862.04
  5. Step 5: Solve for x
    x = 4,266,805,862.04/85,787.84
  6. Step 6: Final answer
    x = 49,736.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.