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Finding the Fourth Proportional to 31,639.94, 47,462.64 and 8,266.38

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Solution

The fourth proportional to 31,639.94, 47,462.64 and 8,266.38 is: 12,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,639.94 : 47,462.64 = 8,266.38 : x
  2. Step 2: Convert to fraction form
    31,639.94/47,462.64 = 8,266.38/x
  3. Step 3: Cross multiply
    31,639.94x = 47,462.64 × 8,266.38
  4. Step 4: Simplify right side
    31,639.94x = 392,343,980.73
  5. Step 5: Solve for x
    x = 392,343,980.73/31,639.94
  6. Step 6: Final answer
    x = 12,400.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.