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Finding the Fourth Proportional to 30,294.57, 45,448.77 and 9,236.50

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Solution

The fourth proportional to 30,294.57, 45,448.77 and 9,236.50 is: 13,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.57 : 45,448.77 = 9,236.50 : x
  2. Step 2: Convert to fraction form
    30,294.57/45,448.77 = 9,236.50/x
  3. Step 3: Cross multiply
    30,294.57x = 45,448.77 × 9,236.50
  4. Step 4: Simplify right side
    30,294.57x = 419,787,290.68
  5. Step 5: Solve for x
    x = 419,787,290.68/30,294.57
  6. Step 6: Final answer
    x = 13,856.85

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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.