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Finding the Fourth Proportional to 31,298.58, 43,185 and 17,865.54

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Solution

The fourth proportional to 31,298.58, 43,185 and 17,865.54 is: 24,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298.58 : 43,185 = 17,865.54 : x
  2. Step 2: Convert to fraction form
    31,298.58/43,185 = 17,865.54/x
  3. Step 3: Cross multiply
    31,298.58x = 43,185 × 17,865.54
  4. Step 4: Simplify right side
    31,298.58x = 771,523,344.90
  5. Step 5: Solve for x
    x = 771,523,344.90/31,298.58
  6. Step 6: Final answer
    x = 24,650.43

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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.