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Finding the Fourth Proportional to 32,025.12, 44,195.02 and 17,684.93

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Solution

The fourth proportional to 32,025.12, 44,195.02 and 17,684.93 is: 24,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,025.12 : 44,195.02 = 17,684.93 : x
  2. Step 2: Convert to fraction form
    32,025.12/44,195.02 = 17,684.93/x
  3. Step 3: Cross multiply
    32,025.12x = 44,195.02 × 17,684.93
  4. Step 4: Simplify right side
    32,025.12x = 781,585,835.05
  5. Step 5: Solve for x
    x = 781,585,835.05/32,025.12
  6. Step 6: Final answer
    x = 24,405.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.