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Finding the Fourth Proportional to 32,286.16, 48,416.44 and 12,561.84

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Solution

The fourth proportional to 32,286.16, 48,416.44 and 12,561.84 is: 18,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.16 : 48,416.44 = 12,561.84 : x
  2. Step 2: Convert to fraction form
    32,286.16/48,416.44 = 12,561.84/x
  3. Step 3: Cross multiply
    32,286.16x = 48,416.44 × 12,561.84
  4. Step 4: Simplify right side
    32,286.16x = 608,199,572.65
  5. Step 5: Solve for x
    x = 608,199,572.65/32,286.16
  6. Step 6: Final answer
    x = 18,837.78

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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.