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Finding the Fourth Proportional to 32,019.08, 48,030.94 and 12,297.65

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Solution

The fourth proportional to 32,019.08, 48,030.94 and 12,297.65 is: 18,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.08 : 48,030.94 = 12,297.65 : x
  2. Step 2: Convert to fraction form
    32,019.08/48,030.94 = 12,297.65/x
  3. Step 3: Cross multiply
    32,019.08x = 48,030.94 × 12,297.65
  4. Step 4: Simplify right side
    32,019.08x = 590,667,418.39
  5. Step 5: Solve for x
    x = 590,667,418.39/32,019.08
  6. Step 6: Final answer
    x = 18,447.36

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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.