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Finding the Fourth Proportional to 33,167.80, 49,737.66 and 9,787.96

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Solution

The fourth proportional to 33,167.80, 49,737.66 and 9,787.96 is: 14,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,167.80 : 49,737.66 = 9,787.96 : x
  2. Step 2: Convert to fraction form
    33,167.80/49,737.66 = 9,787.96/x
  3. Step 3: Cross multiply
    33,167.80x = 49,737.66 × 9,787.96
  4. Step 4: Simplify right side
    33,167.80x = 486,830,226.57
  5. Step 5: Solve for x
    x = 486,830,226.57/33,167.80
  6. Step 6: Final answer
    x = 14,677.80

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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.