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Finding the Fourth Proportional to 31,458, 43,412.34 and 17,311.16

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Solution

The fourth proportional to 31,458, 43,412.34 and 17,311.16 is: 23,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458 : 43,412.34 = 17,311.16 : x
  2. Step 2: Convert to fraction form
    31,458/43,412.34 = 17,311.16/x
  3. Step 3: Cross multiply
    31,458x = 43,412.34 × 17,311.16
  4. Step 4: Simplify right side
    31,458x = 751,517,746.65
  5. Step 5: Solve for x
    x = 751,517,746.65/31,458
  6. Step 6: Final answer
    x = 23,889.56

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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.