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Finding the Fourth Proportional to 30,882.78, 46,317.18 and 18,406.35

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Solution

The fourth proportional to 30,882.78, 46,317.18 and 18,406.35 is: 27,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.78 : 46,317.18 = 18,406.35 : x
  2. Step 2: Convert to fraction form
    30,882.78/46,317.18 = 18,406.35/x
  3. Step 3: Cross multiply
    30,882.78x = 46,317.18 × 18,406.35
  4. Step 4: Simplify right side
    30,882.78x = 852,530,226.09
  5. Step 5: Solve for x
    x = 852,530,226.09/30,882.78
  6. Step 6: Final answer
    x = 27,605.36

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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.