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Finding the Fourth Proportional to 32,667.66, 48,996.87 and 10,478.16

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Solution

The fourth proportional to 32,667.66, 48,996.87 and 10,478.16 is: 15,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,667.66 : 48,996.87 = 10,478.16 : x
  2. Step 2: Convert to fraction form
    32,667.66/48,996.87 = 10,478.16/x
  3. Step 3: Cross multiply
    32,667.66x = 48,996.87 × 10,478.16
  4. Step 4: Simplify right side
    32,667.66x = 513,397,043.36
  5. Step 5: Solve for x
    x = 513,397,043.36/32,667.66
  6. Step 6: Final answer
    x = 15,715.76

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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.