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Finding the Fourth Proportional to 31,175.32, 43,021.99 and 17,746.57

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Solution

The fourth proportional to 31,175.32, 43,021.99 and 17,746.57 is: 24,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.32 : 43,021.99 = 17,746.57 : x
  2. Step 2: Convert to fraction form
    31,175.32/43,021.99 = 17,746.57/x
  3. Step 3: Cross multiply
    31,175.32x = 43,021.99 × 17,746.57
  4. Step 4: Simplify right side
    31,175.32x = 763,492,757.07
  5. Step 5: Solve for x
    x = 763,492,757.07/31,175.32
  6. Step 6: Final answer
    x = 24,490.29

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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.