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Finding the Fourth Proportional to 31,586.32, 47,388.96 and 9,400.48

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Solution

The fourth proportional to 31,586.32, 47,388.96 and 9,400.48 is: 14,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.32 : 47,388.96 = 9,400.48 : x
  2. Step 2: Convert to fraction form
    31,586.32/47,388.96 = 9,400.48/x
  3. Step 3: Cross multiply
    31,586.32x = 47,388.96 × 9,400.48
  4. Step 4: Simplify right side
    31,586.32x = 445,478,970.70
  5. Step 5: Solve for x
    x = 445,478,970.70/31,586.32
  6. Step 6: Final answer
    x = 14,103.54

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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.