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Finding the Fourth Proportional to 31,707.15, 47,566.20 and 10,649.22

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Solution

The fourth proportional to 31,707.15, 47,566.20 and 10,649.22 is: 15,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707.15 : 47,566.20 = 10,649.22 : x
  2. Step 2: Convert to fraction form
    31,707.15/47,566.20 = 10,649.22/x
  3. Step 3: Cross multiply
    31,707.15x = 47,566.20 × 10,649.22
  4. Step 4: Simplify right side
    31,707.15x = 506,542,928.36
  5. Step 5: Solve for x
    x = 506,542,928.36/31,707.15
  6. Step 6: Final answer
    x = 15,975.67

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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.