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Finding the Fourth Proportional to 32,412.68, 48,599.57 and 12,667.71

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Solution

The fourth proportional to 32,412.68, 48,599.57 and 12,667.71 is: 18,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.68 : 48,599.57 = 12,667.71 : x
  2. Step 2: Convert to fraction form
    32,412.68/48,599.57 = 12,667.71/x
  3. Step 3: Cross multiply
    32,412.68x = 48,599.57 × 12,667.71
  4. Step 4: Simplify right side
    32,412.68x = 615,645,258.88
  5. Step 5: Solve for x
    x = 615,645,258.88/32,412.68
  6. Step 6: Final answer
    x = 18,993.96

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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.