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Finding the Fourth Proportional to 31,531.58, 43,512.47 and 17,384.32

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Solution

The fourth proportional to 31,531.58, 43,512.47 and 17,384.32 is: 23,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531.58 : 43,512.47 = 17,384.32 : x
  2. Step 2: Convert to fraction form
    31,531.58/43,512.47 = 17,384.32/x
  3. Step 3: Cross multiply
    31,531.58x = 43,512.47 × 17,384.32
  4. Step 4: Simplify right side
    31,531.58x = 756,434,484.91
  5. Step 5: Solve for x
    x = 756,434,484.91/31,531.58
  6. Step 6: Final answer
    x = 23,989.75

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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.