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Finding the Fourth Proportional to 33,126.56, 45,729.58 and 21,802

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Solution

The fourth proportional to 33,126.56, 45,729.58 and 21,802 is: 30,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,126.56 : 45,729.58 = 21,802 : x
  2. Step 2: Convert to fraction form
    33,126.56/45,729.58 = 21,802/x
  3. Step 3: Cross multiply
    33,126.56x = 45,729.58 × 21,802
  4. Step 4: Simplify right side
    33,126.56x = 996,996,303.16
  5. Step 5: Solve for x
    x = 996,996,303.16/33,126.56
  6. Step 6: Final answer
    x = 30,096.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.