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Finding the Fourth Proportional to 32,118.38, 48,178.89 and 8,744.82

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Solution

The fourth proportional to 32,118.38, 48,178.89 and 8,744.82 is: 13,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,118.38 : 48,178.89 = 8,744.82 : x
  2. Step 2: Convert to fraction form
    32,118.38/48,178.89 = 8,744.82/x
  3. Step 3: Cross multiply
    32,118.38x = 48,178.89 × 8,744.82
  4. Step 4: Simplify right side
    32,118.38x = 421,315,436.23
  5. Step 5: Solve for x
    x = 421,315,436.23/32,118.38
  6. Step 6: Final answer
    x = 13,117.58

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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.