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Finding the Fourth Proportional to 29,878.94, 44,818.45 and 7,692.37

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Solution

The fourth proportional to 29,878.94, 44,818.45 and 7,692.37 is: 11,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.94 : 44,818.45 = 7,692.37 : x
  2. Step 2: Convert to fraction form
    29,878.94/44,818.45 = 7,692.37/x
  3. Step 3: Cross multiply
    29,878.94x = 44,818.45 × 7,692.37
  4. Step 4: Simplify right side
    29,878.94x = 344,759,968.95
  5. Step 5: Solve for x
    x = 344,759,968.95/29,878.94
  6. Step 6: Final answer
    x = 11,538.56

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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.