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Finding the Fourth Proportional to 51,212.96, 70,633.82 and 33,313.68

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Solution

The fourth proportional to 51,212.96, 70,633.82 and 33,313.68 is: 45,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,212.96 : 70,633.82 = 33,313.68 : x
  2. Step 2: Convert to fraction form
    51,212.96/70,633.82 = 33,313.68/x
  3. Step 3: Cross multiply
    51,212.96x = 70,633.82 × 33,313.68
  4. Step 4: Simplify right side
    51,212.96x = 2,353,072,559.94
  5. Step 5: Solve for x
    x = 2,353,072,559.94/51,212.96
  6. Step 6: Final answer
    x = 45,946.82

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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.