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Finding the Fourth Proportional to 32,867.80, 49,301.70 and 9,496.60

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Solution

The fourth proportional to 32,867.80, 49,301.70 and 9,496.60 is: 14,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,867.80 : 49,301.70 = 9,496.60 : x
  2. Step 2: Convert to fraction form
    32,867.80/49,301.70 = 9,496.60/x
  3. Step 3: Cross multiply
    32,867.80x = 49,301.70 × 9,496.60
  4. Step 4: Simplify right side
    32,867.80x = 468,198,524.22
  5. Step 5: Solve for x
    x = 468,198,524.22/32,867.80
  6. Step 6: Final answer
    x = 14,244.90

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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.