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Finding the Fourth Proportional to 32,322.26, 48,467.98 and 11,259.71

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Solution

The fourth proportional to 32,322.26, 48,467.98 and 11,259.71 is: 16,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322.26 : 48,467.98 = 11,259.71 : x
  2. Step 2: Convert to fraction form
    32,322.26/48,467.98 = 11,259.71/x
  3. Step 3: Cross multiply
    32,322.26x = 48,467.98 × 11,259.71
  4. Step 4: Simplify right side
    32,322.26x = 545,735,399.09
  5. Step 5: Solve for x
    x = 545,735,399.09/32,322.26
  6. Step 6: Final answer
    x = 16,884.20

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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.