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Finding the Fourth Proportional to 31,458.65, 43,412.94 and 17,311.50

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Solution

The fourth proportional to 31,458.65, 43,412.94 and 17,311.50 is: 23,889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458.65 : 43,412.94 = 17,311.50 : x
  2. Step 2: Convert to fraction form
    31,458.65/43,412.94 = 17,311.50/x
  3. Step 3: Cross multiply
    31,458.65x = 43,412.94 × 17,311.50
  4. Step 4: Simplify right side
    31,458.65x = 751,543,110.81
  5. Step 5: Solve for x
    x = 751,543,110.81/31,458.65
  6. Step 6: Final answer
    x = 23,889.88

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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.