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Finding the Fourth Proportional to 31,835.62, 47,754.51 and 8,462.08

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Solution

The fourth proportional to 31,835.62, 47,754.51 and 8,462.08 is: 12,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835.62 : 47,754.51 = 8,462.08 : x
  2. Step 2: Convert to fraction form
    31,835.62/47,754.51 = 8,462.08/x
  3. Step 3: Cross multiply
    31,835.62x = 47,754.51 × 8,462.08
  4. Step 4: Simplify right side
    31,835.62x = 404,102,483.98
  5. Step 5: Solve for x
    x = 404,102,483.98/31,835.62
  6. Step 6: Final answer
    x = 12,693.41

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Why These Related Problems?

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