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Finding the Fourth Proportional to 19,840.14, 29,760.66 and 5,049

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Solution

The fourth proportional to 19,840.14, 29,760.66 and 5,049 is: 7,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.14 : 29,760.66 = 5,049 : x
  2. Step 2: Convert to fraction form
    19,840.14/29,760.66 = 5,049/x
  3. Step 3: Cross multiply
    19,840.14x = 29,760.66 × 5,049
  4. Step 4: Simplify right side
    19,840.14x = 150,261,572.34
  5. Step 5: Solve for x
    x = 150,261,572.34/19,840.14
  6. Step 6: Final answer
    x = 7,573.61

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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.