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Finding the Fourth Proportional to 30,280.99, 45,423.75 and 8,093.86

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Solution

The fourth proportional to 30,280.99, 45,423.75 and 8,093.86 is: 12,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280.99 : 45,423.75 = 8,093.86 : x
  2. Step 2: Convert to fraction form
    30,280.99/45,423.75 = 8,093.86/x
  3. Step 3: Cross multiply
    30,280.99x = 45,423.75 × 8,093.86
  4. Step 4: Simplify right side
    30,280.99x = 367,653,473.18
  5. Step 5: Solve for x
    x = 367,653,473.18/30,280.99
  6. Step 6: Final answer
    x = 12,141.40

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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.