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Finding the Fourth Proportional to 30,340.46, 45,511.32 and 7,851.62

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Solution

The fourth proportional to 30,340.46, 45,511.32 and 7,851.62 is: 11,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,340.46 : 45,511.32 = 7,851.62 : x
  2. Step 2: Convert to fraction form
    30,340.46/45,511.32 = 7,851.62/x
  3. Step 3: Cross multiply
    30,340.46x = 45,511.32 × 7,851.62
  4. Step 4: Simplify right side
    30,340.46x = 357,337,362.78
  5. Step 5: Solve for x
    x = 357,337,362.78/30,340.46
  6. Step 6: Final answer
    x = 11,777.59

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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.