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Finding the Fourth Proportional to 30,314.11, 45,465.01 and 8,122.30

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Solution

The fourth proportional to 30,314.11, 45,465.01 and 8,122.30 is: 12,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.11 : 45,465.01 = 8,122.30 : x
  2. Step 2: Convert to fraction form
    30,314.11/45,465.01 = 8,122.30/x
  3. Step 3: Cross multiply
    30,314.11x = 45,465.01 × 8,122.30
  4. Step 4: Simplify right side
    30,314.11x = 369,280,316.75
  5. Step 5: Solve for x
    x = 369,280,316.75/30,314.11
  6. Step 6: Final answer
    x = 12,181.80

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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.