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Finding the Fourth Proportional to 30,267.40, 45,405.74 and 8,082.52

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Solution

The fourth proportional to 30,267.40, 45,405.74 and 8,082.52 is: 12,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267.40 : 45,405.74 = 8,082.52 : x
  2. Step 2: Convert to fraction form
    30,267.40/45,405.74 = 8,082.52/x
  3. Step 3: Cross multiply
    30,267.40x = 45,405.74 × 8,082.52
  4. Step 4: Simplify right side
    30,267.40x = 366,992,801.66
  5. Step 5: Solve for x
    x = 366,992,801.66/30,267.40
  6. Step 6: Final answer
    x = 12,125.02

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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.