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Finding the Fourth Proportional to 32,107.13, 48,180.15 and 13,639.13

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Solution

The fourth proportional to 32,107.13, 48,180.15 and 13,639.13 is: 20,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.13 : 48,180.15 = 13,639.13 : x
  2. Step 2: Convert to fraction form
    32,107.13/48,180.15 = 13,639.13/x
  3. Step 3: Cross multiply
    32,107.13x = 48,180.15 × 13,639.13
  4. Step 4: Simplify right side
    32,107.13x = 657,135,088.37
  5. Step 5: Solve for x
    x = 657,135,088.37/32,107.13
  6. Step 6: Final answer
    x = 20,466.96

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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.