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Finding the Fourth Proportional to 32,448.25, 48,677.64 and 12,716.11

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Solution

The fourth proportional to 32,448.25, 48,677.64 and 12,716.11 is: 19,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448.25 : 48,677.64 = 12,716.11 : x
  2. Step 2: Convert to fraction form
    32,448.25/48,677.64 = 12,716.11/x
  3. Step 3: Cross multiply
    32,448.25x = 48,677.64 × 12,716.11
  4. Step 4: Simplify right side
    32,448.25x = 618,990,224.78
  5. Step 5: Solve for x
    x = 618,990,224.78/32,448.25
  6. Step 6: Final answer
    x = 19,076.23

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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.