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Finding the Fourth Proportional to 42,197.71, 58,247.50 and 24,299.85

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Solution

The fourth proportional to 42,197.71, 58,247.50 and 24,299.85 is: 33,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,197.71 : 58,247.50 = 24,299.85 : x
  2. Step 2: Convert to fraction form
    42,197.71/58,247.50 = 24,299.85/x
  3. Step 3: Cross multiply
    42,197.71x = 58,247.50 × 24,299.85
  4. Step 4: Simplify right side
    42,197.71x = 1,415,405,512.88
  5. Step 5: Solve for x
    x = 1,415,405,512.88/42,197.71
  6. Step 6: Final answer
    x = 33,542.24

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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.