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Finding the Fourth Proportional to 31,351.41, 47,025.84 and 7,978.44

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Solution

The fourth proportional to 31,351.41, 47,025.84 and 7,978.44 is: 11,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,351.41 : 47,025.84 = 7,978.44 : x
  2. Step 2: Convert to fraction form
    31,351.41/47,025.84 = 7,978.44/x
  3. Step 3: Cross multiply
    31,351.41x = 47,025.84 × 7,978.44
  4. Step 4: Simplify right side
    31,351.41x = 375,192,842.89
  5. Step 5: Solve for x
    x = 375,192,842.89/31,351.41
  6. Step 6: Final answer
    x = 11,967.34

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1.5x scale

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.