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Finding the Fourth Proportional to 32,747.96, 49,123.62 and 9,377.88

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Solution

The fourth proportional to 32,747.96, 49,123.62 and 9,377.88 is: 14,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,747.96 : 49,123.62 = 9,377.88 : x
  2. Step 2: Convert to fraction form
    32,747.96/49,123.62 = 9,377.88/x
  3. Step 3: Cross multiply
    32,747.96x = 49,123.62 × 9,377.88
  4. Step 4: Simplify right side
    32,747.96x = 460,675,413.53
  5. Step 5: Solve for x
    x = 460,675,413.53/32,747.96
  6. Step 6: Final answer
    x = 14,067.30

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