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Finding the Fourth Proportional to 30,149.13, 45,222.99 and 7,964.06

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Solution

The fourth proportional to 30,149.13, 45,222.99 and 7,964.06 is: 11,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.13 : 45,222.99 = 7,964.06 : x
  2. Step 2: Convert to fraction form
    30,149.13/45,222.99 = 7,964.06/x
  3. Step 3: Cross multiply
    30,149.13x = 45,222.99 × 7,964.06
  4. Step 4: Simplify right side
    30,149.13x = 360,158,605.74
  5. Step 5: Solve for x
    x = 360,158,605.74/30,149.13
  6. Step 6: Final answer
    x = 11,945.90

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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.