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Finding the Fourth Proportional to 31,774.32, 43,846.84 and 17,626.26

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Solution

The fourth proportional to 31,774.32, 43,846.84 and 17,626.26 is: 24,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.32 : 43,846.84 = 17,626.26 : x
  2. Step 2: Convert to fraction form
    31,774.32/43,846.84 = 17,626.26/x
  3. Step 3: Cross multiply
    31,774.32x = 43,846.84 × 17,626.26
  4. Step 4: Simplify right side
    31,774.32x = 772,855,802.02
  5. Step 5: Solve for x
    x = 772,855,802.02/31,774.32
  6. Step 6: Final answer
    x = 24,323.28

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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.