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Finding the Fourth Proportional to 30,151.30, 45,229.08 and 7,964.44

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Solution

The fourth proportional to 30,151.30, 45,229.08 and 7,964.44 is: 11,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.30 : 45,229.08 = 7,964.44 : x
  2. Step 2: Convert to fraction form
    30,151.30/45,229.08 = 7,964.44/x
  3. Step 3: Cross multiply
    30,151.30x = 45,229.08 × 7,964.44
  4. Step 4: Simplify right side
    30,151.30x = 360,224,293.92
  5. Step 5: Solve for x
    x = 360,224,293.92/30,151.30
  6. Step 6: Final answer
    x = 11,947.22

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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.