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Finding the Fourth Proportional to 42,776.57, 59,003.85 and 27,438.84

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Solution

The fourth proportional to 42,776.57, 59,003.85 and 27,438.84 is: 37,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,776.57 : 59,003.85 = 27,438.84 : x
  2. Step 2: Convert to fraction form
    42,776.57/59,003.85 = 27,438.84/x
  3. Step 3: Cross multiply
    42,776.57x = 59,003.85 × 27,438.84
  4. Step 4: Simplify right side
    42,776.57x = 1,618,997,199.53
  5. Step 5: Solve for x
    x = 1,618,997,199.53/42,776.57
  6. Step 6: Final answer
    x = 37,847.76

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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.