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Finding the Fourth Proportional to 31,294.58, 43,185.80 and 17,865.51

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Solution

The fourth proportional to 31,294.58, 43,185.80 and 17,865.51 is: 24,653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.58 : 43,185.80 = 17,865.51 : x
  2. Step 2: Convert to fraction form
    31,294.58/43,185.80 = 17,865.51/x
  3. Step 3: Cross multiply
    31,294.58x = 43,185.80 × 17,865.51
  4. Step 4: Simplify right side
    31,294.58x = 771,536,252.43
  5. Step 5: Solve for x
    x = 771,536,252.43/31,294.58
  6. Step 6: Final answer
    x = 24,653.99

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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.