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Finding the Fourth Proportional to 32,286.54, 48,402.45 and 12,578.82

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Solution

The fourth proportional to 32,286.54, 48,402.45 and 12,578.82 is: 18,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.54 : 48,402.45 = 12,578.82 : x
  2. Step 2: Convert to fraction form
    32,286.54/48,402.45 = 12,578.82/x
  3. Step 3: Cross multiply
    32,286.54x = 48,402.45 × 12,578.82
  4. Step 4: Simplify right side
    32,286.54x = 608,845,706.11
  5. Step 5: Solve for x
    x = 608,845,706.11/32,286.54
  6. Step 6: Final answer
    x = 18,857.57

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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.