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Finding the Fourth Proportional to 86,734, 119,692.92 and 46,990

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Solution

The fourth proportional to 86,734, 119,692.92 and 46,990 is: 64,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,734 : 119,692.92 = 46,990 : x
  2. Step 2: Convert to fraction form
    86,734/119,692.92 = 46,990/x
  3. Step 3: Cross multiply
    86,734x = 119,692.92 × 46,990
  4. Step 4: Simplify right side
    86,734x = 5,624,370,310.80
  5. Step 5: Solve for x
    x = 5,624,370,310.80/86,734
  6. Step 6: Final answer
    x = 64,846.20

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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.