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Finding the Fourth Proportional to 30,252.53, 45,381 and 8,065.82

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Solution

The fourth proportional to 30,252.53, 45,381 and 8,065.82 is: 12,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,252.53 : 45,381 = 8,065.82 : x
  2. Step 2: Convert to fraction form
    30,252.53/45,381 = 8,065.82/x
  3. Step 3: Cross multiply
    30,252.53x = 45,381 × 8,065.82
  4. Step 4: Simplify right side
    30,252.53x = 366,034,977.42
  5. Step 5: Solve for x
    x = 366,034,977.42/30,252.53
  6. Step 6: Final answer
    x = 12,099.32

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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.