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Finding the Fourth Proportional to 30,857.69, 46,249.31 and 14,194.87

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Solution

The fourth proportional to 30,857.69, 46,249.31 and 14,194.87 is: 21,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.69 : 46,249.31 = 14,194.87 : x
  2. Step 2: Convert to fraction form
    30,857.69/46,249.31 = 14,194.87/x
  3. Step 3: Cross multiply
    30,857.69x = 46,249.31 × 14,194.87
  4. Step 4: Simplify right side
    30,857.69x = 656,502,862.90
  5. Step 5: Solve for x
    x = 656,502,862.90/30,857.69
  6. Step 6: Final answer
    x = 21,275.18

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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.