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Finding the Fourth Proportional to 31,797.16, 47,692.14 and 8,104.60

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Solution

The fourth proportional to 31,797.16, 47,692.14 and 8,104.60 is: 12,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.16 : 47,692.14 = 8,104.60 : x
  2. Step 2: Convert to fraction form
    31,797.16/47,692.14 = 8,104.60/x
  3. Step 3: Cross multiply
    31,797.16x = 47,692.14 × 8,104.60
  4. Step 4: Simplify right side
    31,797.16x = 386,525,717.84
  5. Step 5: Solve for x
    x = 386,525,717.84/31,797.16
  6. Step 6: Final answer
    x = 12,155.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.