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Finding the Fourth Proportional to 74,596.96, 102,956.30 and 47,738.17

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Solution

The fourth proportional to 74,596.96, 102,956.30 and 47,738.17 is: 65,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,596.96 : 102,956.30 = 47,738.17 : x
  2. Step 2: Convert to fraction form
    74,596.96/102,956.30 = 47,738.17/x
  3. Step 3: Cross multiply
    74,596.96x = 102,956.30 × 47,738.17
  4. Step 4: Simplify right side
    74,596.96x = 4,914,945,351.97
  5. Step 5: Solve for x
    x = 4,914,945,351.97/74,596.96
  6. Step 6: Final answer
    x = 65,886.67

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Why These Related Problems?

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