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Finding the Fourth Proportional to 32,991.28, 49,486.22 and 8,031.46

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Solution

The fourth proportional to 32,991.28, 49,486.22 and 8,031.46 is: 12,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.28 : 49,486.22 = 8,031.46 : x
  2. Step 2: Convert to fraction form
    32,991.28/49,486.22 = 8,031.46/x
  3. Step 3: Cross multiply
    32,991.28x = 49,486.22 × 8,031.46
  4. Step 4: Simplify right side
    32,991.28x = 397,446,308.89
  5. Step 5: Solve for x
    x = 397,446,308.89/32,991.28
  6. Step 6: Final answer
    x = 12,047.01

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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.