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Finding the Fourth Proportional to 30,617.91, 45,926.85 and 9,843.03

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Solution

The fourth proportional to 30,617.91, 45,926.85 and 9,843.03 is: 14,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.91 : 45,926.85 = 9,843.03 : x
  2. Step 2: Convert to fraction form
    30,617.91/45,926.85 = 9,843.03/x
  3. Step 3: Cross multiply
    30,617.91x = 45,926.85 × 9,843.03
  4. Step 4: Simplify right side
    30,617.91x = 452,059,362.36
  5. Step 5: Solve for x
    x = 452,059,362.36/30,617.91
  6. Step 6: Final answer
    x = 14,764.54

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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.