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Finding the Fourth Proportional to 32,248.86, 48,364.10 and 12,523.20

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Solution

The fourth proportional to 32,248.86, 48,364.10 and 12,523.20 is: 18,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,248.86 : 48,364.10 = 12,523.20 : x
  2. Step 2: Convert to fraction form
    32,248.86/48,364.10 = 12,523.20/x
  3. Step 3: Cross multiply
    32,248.86x = 48,364.10 × 12,523.20
  4. Step 4: Simplify right side
    32,248.86x = 605,673,297.12
  5. Step 5: Solve for x
    x = 605,673,297.12/32,248.86
  6. Step 6: Final answer
    x = 18,781.23

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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.