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Finding the Fourth Proportional to 29,836.21, 44,754.31 and 14,206.45

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Solution

The fourth proportional to 29,836.21, 44,754.31 and 14,206.45 is: 21,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836.21 : 44,754.31 = 14,206.45 : x
  2. Step 2: Convert to fraction form
    29,836.21/44,754.31 = 14,206.45/x
  3. Step 3: Cross multiply
    29,836.21x = 44,754.31 × 14,206.45
  4. Step 4: Simplify right side
    29,836.21x = 635,799,572.50
  5. Step 5: Solve for x
    x = 635,799,572.50/29,836.21
  6. Step 6: Final answer
    x = 21,309.67

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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.