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Finding the Fourth Proportional to 31,816.99, 43,906.24 and 17,670.74

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Solution

The fourth proportional to 31,816.99, 43,906.24 and 17,670.74 is: 24,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816.99 : 43,906.24 = 17,670.74 : x
  2. Step 2: Convert to fraction form
    31,816.99/43,906.24 = 17,670.74/x
  3. Step 3: Cross multiply
    31,816.99x = 43,906.24 × 17,670.74
  4. Step 4: Simplify right side
    31,816.99x = 775,855,751.42
  5. Step 5: Solve for x
    x = 775,855,751.42/31,816.99
  6. Step 6: Final answer
    x = 24,384.95

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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.