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Finding the Fourth Proportional to 31,468.80, 43,418.16 and 19,532.64

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Solution

The fourth proportional to 31,468.80, 43,418.16 and 19,532.64 is: 26,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468.80 : 43,418.16 = 19,532.64 : x
  2. Step 2: Convert to fraction form
    31,468.80/43,418.16 = 19,532.64/x
  3. Step 3: Cross multiply
    31,468.80x = 43,418.16 × 19,532.64
  4. Step 4: Simplify right side
    31,468.80x = 848,071,288.74
  5. Step 5: Solve for x
    x = 848,071,288.74/31,468.80
  6. Step 6: Final answer
    x = 26,949.59

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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.