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Finding the Fourth Proportional to 30,917.58, 46,375.92 and 21,421.14

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Solution

The fourth proportional to 30,917.58, 46,375.92 and 21,421.14 is: 32,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917.58 : 46,375.92 = 21,421.14 : x
  2. Step 2: Convert to fraction form
    30,917.58/46,375.92 = 21,421.14/x
  3. Step 3: Cross multiply
    30,917.58x = 46,375.92 × 21,421.14
  4. Step 4: Simplify right side
    30,917.58x = 993,425,074.95
  5. Step 5: Solve for x
    x = 993,425,074.95/30,917.58
  6. Step 6: Final answer
    x = 32,131.40

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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.