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Finding the Fourth Proportional to 66,806.31, 92,107.76 and 47,708.94

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Solution

The fourth proportional to 66,806.31, 92,107.76 and 47,708.94 is: 65,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,806.31 : 92,107.76 = 47,708.94 : x
  2. Step 2: Convert to fraction form
    66,806.31/92,107.76 = 47,708.94/x
  3. Step 3: Cross multiply
    66,806.31x = 92,107.76 × 47,708.94
  4. Step 4: Simplify right side
    66,806.31x = 4,394,363,356.83
  5. Step 5: Solve for x
    x = 4,394,363,356.83/66,806.31
  6. Step 6: Final answer
    x = 65,777.67

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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.