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Finding the Fourth Proportional to 31,731.54, 47,592.66 and 8,357.94

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Solution

The fourth proportional to 31,731.54, 47,592.66 and 8,357.94 is: 12,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.54 : 47,592.66 = 8,357.94 : x
  2. Step 2: Convert to fraction form
    31,731.54/47,592.66 = 8,357.94/x
  3. Step 3: Cross multiply
    31,731.54x = 47,592.66 × 8,357.94
  4. Step 4: Simplify right side
    31,731.54x = 397,776,596.72
  5. Step 5: Solve for x
    x = 397,776,596.72/31,731.54
  6. Step 6: Final answer
    x = 12,535.69

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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.