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Finding the Fourth Proportional to 30,857.36, 46,248.92 and 14,194.42

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Solution

The fourth proportional to 30,857.36, 46,248.92 and 14,194.42 is: 21,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.36 : 46,248.92 = 14,194.42 : x
  2. Step 2: Convert to fraction form
    30,857.36/46,248.92 = 14,194.42/x
  3. Step 3: Cross multiply
    30,857.36x = 46,248.92 × 14,194.42
  4. Step 4: Simplify right side
    30,857.36x = 656,476,595.03
  5. Step 5: Solve for x
    x = 656,476,595.03/30,857.36
  6. Step 6: Final answer
    x = 21,274.55

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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.