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Finding the Fourth Proportional to 30,023.25, 41,432.09 and 16,775.25

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Solution

The fourth proportional to 30,023.25, 41,432.09 and 16,775.25 is: 23,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,023.25 : 41,432.09 = 16,775.25 : x
  2. Step 2: Convert to fraction form
    30,023.25/41,432.09 = 16,775.25/x
  3. Step 3: Cross multiply
    30,023.25x = 41,432.09 × 16,775.25
  4. Step 4: Simplify right side
    30,023.25x = 695,033,583.90
  5. Step 5: Solve for x
    x = 695,033,583.90/30,023.25
  6. Step 6: Final answer
    x = 23,149.85

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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.