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Finding the Fourth Proportional to 31,767.62, 47,653.14 and 8,393.42

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Solution

The fourth proportional to 31,767.62, 47,653.14 and 8,393.42 is: 12,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767.62 : 47,653.14 = 8,393.42 : x
  2. Step 2: Convert to fraction form
    31,767.62/47,653.14 = 8,393.42/x
  3. Step 3: Cross multiply
    31,767.62x = 47,653.14 × 8,393.42
  4. Step 4: Simplify right side
    31,767.62x = 399,972,818.34
  5. Step 5: Solve for x
    x = 399,972,818.34/31,767.62
  6. Step 6: Final answer
    x = 12,590.58

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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.