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Finding the Fourth Proportional to 47,692.80, 71,481.60 and 24,307.20

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Solution

The fourth proportional to 47,692.80, 71,481.60 and 24,307.20 is: 36,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.80 : 71,481.60 = 24,307.20 : x
  2. Step 2: Convert to fraction form
    47,692.80/71,481.60 = 24,307.20/x
  3. Step 3: Cross multiply
    47,692.80x = 71,481.60 × 24,307.20
  4. Step 4: Simplify right side
    47,692.80x = 1,737,517,547.52
  5. Step 5: Solve for x
    x = 1,737,517,547.52/47,692.80
  6. Step 6: Final answer
    x = 36,431.44

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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.