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Finding the Fourth Proportional to 30,930.18, 46,398.90 and 17,782.68

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Solution

The fourth proportional to 30,930.18, 46,398.90 and 17,782.68 is: 26,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.18 : 46,398.90 = 17,782.68 : x
  2. Step 2: Convert to fraction form
    30,930.18/46,398.90 = 17,782.68/x
  3. Step 3: Cross multiply
    30,930.18x = 46,398.90 × 17,782.68
  4. Step 4: Simplify right side
    30,930.18x = 825,096,791.05
  5. Step 5: Solve for x
    x = 825,096,791.05/30,930.18
  6. Step 6: Final answer
    x = 26,676.11

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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.