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Finding the Fourth Proportional to 71,692.40, 107,535.49 and 21,771.38

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Solution

The fourth proportional to 71,692.40, 107,535.49 and 21,771.38 is: 32,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692.40 : 107,535.49 = 21,771.38 : x
  2. Step 2: Convert to fraction form
    71,692.40/107,535.49 = 21,771.38/x
  3. Step 3: Cross multiply
    71,692.40x = 107,535.49 × 21,771.38
  4. Step 4: Simplify right side
    71,692.40x = 2,341,196,016.28
  5. Step 5: Solve for x
    x = 2,341,196,016.28/71,692.40
  6. Step 6: Final answer
    x = 32,656.13

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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.