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Finding the Fourth Proportional to 30,812.29, 46,221.68 and 9,755.23

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Solution

The fourth proportional to 30,812.29, 46,221.68 and 9,755.23 is: 14,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.29 : 46,221.68 = 9,755.23 : x
  2. Step 2: Convert to fraction form
    30,812.29/46,221.68 = 9,755.23/x
  3. Step 3: Cross multiply
    30,812.29x = 46,221.68 × 9,755.23
  4. Step 4: Simplify right side
    30,812.29x = 450,903,119.39
  5. Step 5: Solve for x
    x = 450,903,119.39/30,812.29
  6. Step 6: Final answer
    x = 14,633.87

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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.