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Finding the Fourth Proportional to 30,268.98, 45,403.46 and 8,082.47

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Solution

The fourth proportional to 30,268.98, 45,403.46 and 8,082.47 is: 12,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.98 : 45,403.46 = 8,082.47 : x
  2. Step 2: Convert to fraction form
    30,268.98/45,403.46 = 8,082.47/x
  3. Step 3: Cross multiply
    30,268.98x = 45,403.46 × 8,082.47
  4. Step 4: Simplify right side
    30,268.98x = 366,971,835.92
  5. Step 5: Solve for x
    x = 366,971,835.92/30,268.98
  6. Step 6: Final answer
    x = 12,123.69

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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.