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Finding the Fourth Proportional to 47,845.77, 71,686.64 and 33,780.63

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Solution

The fourth proportional to 47,845.77, 71,686.64 and 33,780.63 is: 50,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,845.77 : 71,686.64 = 33,780.63 : x
  2. Step 2: Convert to fraction form
    47,845.77/71,686.64 = 33,780.63/x
  3. Step 3: Cross multiply
    47,845.77x = 71,686.64 × 33,780.63
  4. Step 4: Simplify right side
    47,845.77x = 2,421,619,692.88
  5. Step 5: Solve for x
    x = 2,421,619,692.88/47,845.77
  6. Step 6: Final answer
    x = 50,613.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.