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Finding the Fourth Proportional to 76,692.33, 105,834.39 and 44,431.34

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Solution

The fourth proportional to 76,692.33, 105,834.39 and 44,431.34 is: 61,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,692.33 : 105,834.39 = 44,431.34 : x
  2. Step 2: Convert to fraction form
    76,692.33/105,834.39 = 44,431.34/x
  3. Step 3: Cross multiply
    76,692.33x = 105,834.39 × 44,431.34
  4. Step 4: Simplify right side
    76,692.33x = 4,702,363,236.61
  5. Step 5: Solve for x
    x = 4,702,363,236.61/76,692.33
  6. Step 6: Final answer
    x = 61,314.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.