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Finding the Fourth Proportional to 32,102.15, 48,127.12 and 13,396.12

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Solution

The fourth proportional to 32,102.15, 48,127.12 and 13,396.12 is: 20,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.15 : 48,127.12 = 13,396.12 : x
  2. Step 2: Convert to fraction form
    32,102.15/48,127.12 = 13,396.12/x
  3. Step 3: Cross multiply
    32,102.15x = 48,127.12 × 13,396.12
  4. Step 4: Simplify right side
    32,102.15x = 644,716,520.97
  5. Step 5: Solve for x
    x = 644,716,520.97/32,102.15
  6. Step 6: Final answer
    x = 20,083.28

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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.