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Finding the Fourth Proportional to 30,031.70, 45,040.56 and 11,313.61

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Solution

The fourth proportional to 30,031.70, 45,040.56 and 11,313.61 is: 16,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,031.70 : 45,040.56 = 11,313.61 : x
  2. Step 2: Convert to fraction form
    30,031.70/45,040.56 = 11,313.61/x
  3. Step 3: Cross multiply
    30,031.70x = 45,040.56 × 11,313.61
  4. Step 4: Simplify right side
    30,031.70x = 509,571,174.99
  5. Step 5: Solve for x
    x = 509,571,174.99/30,031.70
  6. Step 6: Final answer
    x = 16,967.78

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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.