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Finding the Fourth Proportional to 31,844.88, 43,947 and 17,698.32

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Solution

The fourth proportional to 31,844.88, 43,947 and 17,698.32 is: 24,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,844.88 : 43,947 = 17,698.32 : x
  2. Step 2: Convert to fraction form
    31,844.88/43,947 = 17,698.32/x
  3. Step 3: Cross multiply
    31,844.88x = 43,947 × 17,698.32
  4. Step 4: Simplify right side
    31,844.88x = 777,788,069.04
  5. Step 5: Solve for x
    x = 777,788,069.04/31,844.88
  6. Step 6: Final answer
    x = 24,424.27

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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.