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Finding the Fourth Proportional to 32,792.12, 49,191.92 and 12,015.64

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Solution

The fourth proportional to 32,792.12, 49,191.92 and 12,015.64 is: 18,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,792.12 : 49,191.92 = 12,015.64 : x
  2. Step 2: Convert to fraction form
    32,792.12/49,191.92 = 12,015.64/x
  3. Step 3: Cross multiply
    32,792.12x = 49,191.92 × 12,015.64
  4. Step 4: Simplify right side
    32,792.12x = 591,072,401.63
  5. Step 5: Solve for x
    x = 591,072,401.63/32,792.12
  6. Step 6: Final answer
    x = 18,024.83

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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.