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Finding the Fourth Proportional to 31,749.83, 47,621.09 and 8,378.09

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Solution

The fourth proportional to 31,749.83, 47,621.09 and 8,378.09 is: 12,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,749.83 : 47,621.09 = 8,378.09 : x
  2. Step 2: Convert to fraction form
    31,749.83/47,621.09 = 8,378.09/x
  3. Step 3: Cross multiply
    31,749.83x = 47,621.09 × 8,378.09
  4. Step 4: Simplify right side
    31,749.83x = 398,973,539.81
  5. Step 5: Solve for x
    x = 398,973,539.81/31,749.83
  6. Step 6: Final answer
    x = 12,566.17

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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.