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Finding the Fourth Proportional to 30,625.44, 45,942.48 and 9,844.08

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Solution

The fourth proportional to 30,625.44, 45,942.48 and 9,844.08 is: 14,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,625.44 : 45,942.48 = 9,844.08 : x
  2. Step 2: Convert to fraction form
    30,625.44/45,942.48 = 9,844.08/x
  3. Step 3: Cross multiply
    30,625.44x = 45,942.48 × 9,844.08
  4. Step 4: Simplify right side
    30,625.44x = 452,261,448.52
  5. Step 5: Solve for x
    x = 452,261,448.52/30,625.44
  6. Step 6: Final answer
    x = 14,767.51

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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.