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Finding the Fourth Proportional to 30,291.90, 41,779.14 and 19,684.94

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Solution

The fourth proportional to 30,291.90, 41,779.14 and 19,684.94 is: 27,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.90 : 41,779.14 = 19,684.94 : x
  2. Step 2: Convert to fraction form
    30,291.90/41,779.14 = 19,684.94/x
  3. Step 3: Cross multiply
    30,291.90x = 41,779.14 × 19,684.94
  4. Step 4: Simplify right side
    30,291.90x = 822,419,864.15
  5. Step 5: Solve for x
    x = 822,419,864.15/30,291.90
  6. Step 6: Final answer
    x = 27,149.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.