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Finding the Fourth Proportional to 30,283.74, 45,427.86 and 8,096.61

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Solution

The fourth proportional to 30,283.74, 45,427.86 and 8,096.61 is: 12,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.74 : 45,427.86 = 8,096.61 : x
  2. Step 2: Convert to fraction form
    30,283.74/45,427.86 = 8,096.61/x
  3. Step 3: Cross multiply
    30,283.74x = 45,427.86 × 8,096.61
  4. Step 4: Simplify right side
    30,283.74x = 367,811,665.55
  5. Step 5: Solve for x
    x = 367,811,665.55/30,283.74
  6. Step 6: Final answer
    x = 12,145.52

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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.