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Finding the Fourth Proportional to 30,306.66, 45,458.92 and 9,245.85

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Solution

The fourth proportional to 30,306.66, 45,458.92 and 9,245.85 is: 13,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,306.66 : 45,458.92 = 9,245.85 : x
  2. Step 2: Convert to fraction form
    30,306.66/45,458.92 = 9,245.85/x
  3. Step 3: Cross multiply
    30,306.66x = 45,458.92 × 9,245.85
  4. Step 4: Simplify right side
    30,306.66x = 420,306,196.57
  5. Step 5: Solve for x
    x = 420,306,196.57/30,306.66
  6. Step 6: Final answer
    x = 13,868.45

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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.