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Finding the Fourth Proportional to 49,508.70, 74,282.48 and 21,787.26

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Solution

The fourth proportional to 49,508.70, 74,282.48 and 21,787.26 is: 32,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,508.70 : 74,282.48 = 21,787.26 : x
  2. Step 2: Convert to fraction form
    49,508.70/74,282.48 = 21,787.26/x
  3. Step 3: Cross multiply
    49,508.70x = 74,282.48 × 21,787.26
  4. Step 4: Simplify right side
    49,508.70x = 1,618,411,705.20
  5. Step 5: Solve for x
    x = 1,618,411,705.20/49,508.70
  6. Step 6: Final answer
    x = 32,689.44

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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.