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Finding the Fourth Proportional to 30,952.95, 46,447.87 and 11,233.05

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Solution

The fourth proportional to 30,952.95, 46,447.87 and 11,233.05 is: 16,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.95 : 46,447.87 = 11,233.05 : x
  2. Step 2: Convert to fraction form
    30,952.95/46,447.87 = 11,233.05/x
  3. Step 3: Cross multiply
    30,952.95x = 46,447.87 × 11,233.05
  4. Step 4: Simplify right side
    30,952.95x = 521,751,246.10
  5. Step 5: Solve for x
    x = 521,751,246.10/30,952.95
  6. Step 6: Final answer
    x = 16,856.27

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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.