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Finding the Fourth Proportional to 69,780.78, 104,692.95 and 23,066.46

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Solution

The fourth proportional to 69,780.78, 104,692.95 and 23,066.46 is: 34,606.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,780.78 : 104,692.95 = 23,066.46 : x
  2. Step 2: Convert to fraction form
    69,780.78/104,692.95 = 23,066.46/x
  3. Step 3: Cross multiply
    69,780.78x = 104,692.95 × 23,066.46
  4. Step 4: Simplify right side
    69,780.78x = 2,414,895,743.46
  5. Step 5: Solve for x
    x = 2,414,895,743.46/69,780.78
  6. Step 6: Final answer
    x = 34,606.89

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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.