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Finding the Fourth Proportional to 32,100.25, 48,161.78 and 14,329.30

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Solution

The fourth proportional to 32,100.25, 48,161.78 and 14,329.30 is: 21,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,100.25 : 48,161.78 = 14,329.30 : x
  2. Step 2: Convert to fraction form
    32,100.25/48,161.78 = 14,329.30/x
  3. Step 3: Cross multiply
    32,100.25x = 48,161.78 × 14,329.30
  4. Step 4: Simplify right side
    32,100.25x = 690,124,594.15
  5. Step 5: Solve for x
    x = 690,124,594.15/32,100.25
  6. Step 6: Final answer
    x = 21,499.04

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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.