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Finding the Fourth Proportional to 29,461.20, 44,191.94 and 7,275.03

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Solution

The fourth proportional to 29,461.20, 44,191.94 and 7,275.03 is: 10,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.20 : 44,191.94 = 7,275.03 : x
  2. Step 2: Convert to fraction form
    29,461.20/44,191.94 = 7,275.03/x
  3. Step 3: Cross multiply
    29,461.20x = 44,191.94 × 7,275.03
  4. Step 4: Simplify right side
    29,461.20x = 321,497,652.88
  5. Step 5: Solve for x
    x = 321,497,652.88/29,461.20
  6. Step 6: Final answer
    x = 10,912.58

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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.