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Finding the Fourth Proportional to 31,648, 43,670.46 and 17,498.92

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Solution

The fourth proportional to 31,648, 43,670.46 and 17,498.92 is: 24,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648 : 43,670.46 = 17,498.92 : x
  2. Step 2: Convert to fraction form
    31,648/43,670.46 = 17,498.92/x
  3. Step 3: Cross multiply
    31,648x = 43,670.46 × 17,498.92
  4. Step 4: Simplify right side
    31,648x = 764,185,885.90
  5. Step 5: Solve for x
    x = 764,185,885.90/31,648
  6. Step 6: Final answer
    x = 24,146.42

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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.