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Finding the Fourth Proportional to 31,486.50, 43,451.38 and 17,339.32

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Solution

The fourth proportional to 31,486.50, 43,451.38 and 17,339.32 is: 23,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486.50 : 43,451.38 = 17,339.32 : x
  2. Step 2: Convert to fraction form
    31,486.50/43,451.38 = 17,339.32/x
  3. Step 3: Cross multiply
    31,486.50x = 43,451.38 × 17,339.32
  4. Step 4: Simplify right side
    31,486.50x = 753,417,382.26
  5. Step 5: Solve for x
    x = 753,417,382.26/31,486.50
  6. Step 6: Final answer
    x = 23,928.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.