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Finding the Fourth Proportional to 34,191.17, 51,270.32 and 16,164.38

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Solution

The fourth proportional to 34,191.17, 51,270.32 and 16,164.38 is: 24,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.17 : 51,270.32 = 16,164.38 : x
  2. Step 2: Convert to fraction form
    34,191.17/51,270.32 = 16,164.38/x
  3. Step 3: Cross multiply
    34,191.17x = 51,270.32 × 16,164.38
  4. Step 4: Simplify right side
    34,191.17x = 828,752,598.03
  5. Step 5: Solve for x
    x = 828,752,598.03/34,191.17
  6. Step 6: Final answer
    x = 24,238.79

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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.