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Finding the Fourth Proportional to 30,440.99, 45,661.38 and 8,254.31

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Solution

The fourth proportional to 30,440.99, 45,661.38 and 8,254.31 is: 12,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,440.99 : 45,661.38 = 8,254.31 : x
  2. Step 2: Convert to fraction form
    30,440.99/45,661.38 = 8,254.31/x
  3. Step 3: Cross multiply
    30,440.99x = 45,661.38 × 8,254.31
  4. Step 4: Simplify right side
    30,440.99x = 376,903,030.12
  5. Step 5: Solve for x
    x = 376,903,030.12/30,440.99
  6. Step 6: Final answer
    x = 12,381.43

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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.