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Finding the Fourth Proportional to 30,819.97, 46,235.36 and 13,290.49

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Solution

The fourth proportional to 30,819.97, 46,235.36 and 13,290.49 is: 19,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.97 : 46,235.36 = 13,290.49 : x
  2. Step 2: Convert to fraction form
    30,819.97/46,235.36 = 13,290.49/x
  3. Step 3: Cross multiply
    30,819.97x = 46,235.36 × 13,290.49
  4. Step 4: Simplify right side
    30,819.97x = 614,490,523.27
  5. Step 5: Solve for x
    x = 614,490,523.27/30,819.97
  6. Step 6: Final answer
    x = 19,938.06

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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.