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Finding the Fourth Proportional to 32,293.86, 48,449.96 and 12,578.05

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Solution

The fourth proportional to 32,293.86, 48,449.96 and 12,578.05 is: 18,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,293.86 : 48,449.96 = 12,578.05 : x
  2. Step 2: Convert to fraction form
    32,293.86/48,449.96 = 12,578.05/x
  3. Step 3: Cross multiply
    32,293.86x = 48,449.96 × 12,578.05
  4. Step 4: Simplify right side
    32,293.86x = 609,406,019.38
  5. Step 5: Solve for x
    x = 609,406,019.38/32,293.86
  6. Step 6: Final answer
    x = 18,870.65

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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.