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Finding the Fourth Proportional to 51,964.92, 71,707.32 and 29,309.48

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Solution

The fourth proportional to 51,964.92, 71,707.32 and 29,309.48 is: 40,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,964.92 : 71,707.32 = 29,309.48 : x
  2. Step 2: Convert to fraction form
    51,964.92/71,707.32 = 29,309.48/x
  3. Step 3: Cross multiply
    51,964.92x = 71,707.32 × 29,309.48
  4. Step 4: Simplify right side
    51,964.92x = 2,101,704,261.39
  5. Step 5: Solve for x
    x = 2,101,704,261.39/51,964.92
  6. Step 6: Final answer
    x = 40,444.67

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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.