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Finding the Fourth Proportional to 42,644.46, 58,849.62 and 23,782.80

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Solution

The fourth proportional to 42,644.46, 58,849.62 and 23,782.80 is: 32,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,644.46 : 58,849.62 = 23,782.80 : x
  2. Step 2: Convert to fraction form
    42,644.46/58,849.62 = 23,782.80/x
  3. Step 3: Cross multiply
    42,644.46x = 58,849.62 × 23,782.80
  4. Step 4: Simplify right side
    42,644.46x = 1,399,608,742.54
  5. Step 5: Solve for x
    x = 1,399,608,742.54/42,644.46
  6. Step 6: Final answer
    x = 32,820.41

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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.