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Finding the Fourth Proportional to 31,835.86, 47,753.74 and 8,462.30

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Solution

The fourth proportional to 31,835.86, 47,753.74 and 8,462.30 is: 12,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835.86 : 47,753.74 = 8,462.30 : x
  2. Step 2: Convert to fraction form
    31,835.86/47,753.74 = 8,462.30/x
  3. Step 3: Cross multiply
    31,835.86x = 47,753.74 × 8,462.30
  4. Step 4: Simplify right side
    31,835.86x = 404,106,368.22
  5. Step 5: Solve for x
    x = 404,106,368.22/31,835.86
  6. Step 6: Final answer
    x = 12,693.43

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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.