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Finding the Fourth Proportional to 37,059.54, 51,142.77 and 20,291.46

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Solution

The fourth proportional to 37,059.54, 51,142.77 and 20,291.46 is: 28,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,059.54 : 51,142.77 = 20,291.46 : x
  2. Step 2: Convert to fraction form
    37,059.54/51,142.77 = 20,291.46/x
  3. Step 3: Cross multiply
    37,059.54x = 51,142.77 × 20,291.46
  4. Step 4: Simplify right side
    37,059.54x = 1,037,761,471.74
  5. Step 5: Solve for x
    x = 1,037,761,471.74/37,059.54
  6. Step 6: Final answer
    x = 28,002.55

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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.