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Finding the Fourth Proportional to 78,692.49, 117,974.40 and 36,598.82

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Solution

The fourth proportional to 78,692.49, 117,974.40 and 36,598.82 is: 54,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,692.49 : 117,974.40 = 36,598.82 : x
  2. Step 2: Convert to fraction form
    78,692.49/117,974.40 = 36,598.82/x
  3. Step 3: Cross multiply
    78,692.49x = 117,974.40 × 36,598.82
  4. Step 4: Simplify right side
    78,692.49x = 4,317,723,240.34
  5. Step 5: Solve for x
    x = 4,317,723,240.34/78,692.49
  6. Step 6: Final answer
    x = 54,868.30

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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.