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Finding the Fourth Proportional to 51,213.96, 70,635.20 and 33,314.68

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Solution

The fourth proportional to 51,213.96, 70,635.20 and 33,314.68 is: 45,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,213.96 : 70,635.20 = 33,314.68 : x
  2. Step 2: Convert to fraction form
    51,213.96/70,635.20 = 33,314.68/x
  3. Step 3: Cross multiply
    51,213.96x = 70,635.20 × 33,314.68
  4. Step 4: Simplify right side
    51,213.96x = 2,353,189,084.74
  5. Step 5: Solve for x
    x = 2,353,189,084.74/51,213.96
  6. Step 6: Final answer
    x = 45,948.20

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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.