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Finding the Fourth Proportional to 30,500.99, 45,750.13 and 8,314.36

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Solution

The fourth proportional to 30,500.99, 45,750.13 and 8,314.36 is: 12,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500.99 : 45,750.13 = 8,314.36 : x
  2. Step 2: Convert to fraction form
    30,500.99/45,750.13 = 8,314.36/x
  3. Step 3: Cross multiply
    30,500.99x = 45,750.13 × 8,314.36
  4. Step 4: Simplify right side
    30,500.99x = 380,383,050.87
  5. Step 5: Solve for x
    x = 380,383,050.87/30,500.99
  6. Step 6: Final answer
    x = 12,471.17

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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.