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Finding the Fourth Proportional to 32,322.90, 48,464.49 and 12,578.46

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Solution

The fourth proportional to 32,322.90, 48,464.49 and 12,578.46 is: 18,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322.90 : 48,464.49 = 12,578.46 : x
  2. Step 2: Convert to fraction form
    32,322.90/48,464.49 = 12,578.46/x
  3. Step 3: Cross multiply
    32,322.90x = 48,464.49 × 12,578.46
  4. Step 4: Simplify right side
    32,322.90x = 609,608,648.89
  5. Step 5: Solve for x
    x = 609,608,648.89/32,322.90
  6. Step 6: Final answer
    x = 18,859.96

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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.