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Finding the Fourth Proportional to 30,233.64, 45,351.36 and 8,049.36

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Solution

The fourth proportional to 30,233.64, 45,351.36 and 8,049.36 is: 12,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.64 : 45,351.36 = 8,049.36 : x
  2. Step 2: Convert to fraction form
    30,233.64/45,351.36 = 8,049.36/x
  3. Step 3: Cross multiply
    30,233.64x = 45,351.36 × 8,049.36
  4. Step 4: Simplify right side
    30,233.64x = 365,049,423.13
  5. Step 5: Solve for x
    x = 365,049,423.13/30,233.64
  6. Step 6: Final answer
    x = 12,074.28

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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.