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Finding the Fourth Proportional to 31,204.44, 46,797.42 and 9,018.02

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Solution

The fourth proportional to 31,204.44, 46,797.42 and 9,018.02 is: 13,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.44 : 46,797.42 = 9,018.02 : x
  2. Step 2: Convert to fraction form
    31,204.44/46,797.42 = 9,018.02/x
  3. Step 3: Cross multiply
    31,204.44x = 46,797.42 × 9,018.02
  4. Step 4: Simplify right side
    31,204.44x = 422,020,069.51
  5. Step 5: Solve for x
    x = 422,020,069.51/31,204.44
  6. Step 6: Final answer
    x = 13,524.36

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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.