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Finding the Fourth Proportional to 30,305.40, 45,458.10 and 8,122.20

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Solution

The fourth proportional to 30,305.40, 45,458.10 and 8,122.20 is: 12,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,305.40 : 45,458.10 = 8,122.20 : x
  2. Step 2: Convert to fraction form
    30,305.40/45,458.10 = 8,122.20/x
  3. Step 3: Cross multiply
    30,305.40x = 45,458.10 × 8,122.20
  4. Step 4: Simplify right side
    30,305.40x = 369,219,779.82
  5. Step 5: Solve for x
    x = 369,219,779.82/30,305.40
  6. Step 6: Final answer
    x = 12,183.30

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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.