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Finding the Fourth Proportional to 83,692.39, 115,462.11 and 53,469.88

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Solution

The fourth proportional to 83,692.39, 115,462.11 and 53,469.88 is: 73,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692.39 : 115,462.11 = 53,469.88 : x
  2. Step 2: Convert to fraction form
    83,692.39/115,462.11 = 53,469.88/x
  3. Step 3: Cross multiply
    83,692.39x = 115,462.11 × 53,469.88
  4. Step 4: Simplify right side
    83,692.39x = 6,173,745,166.25
  5. Step 5: Solve for x
    x = 6,173,745,166.25/83,692.39
  6. Step 6: Final answer
    x = 73,767.10

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1.5x scale

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.