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Finding the Fourth Proportional to 42,235.70, 58,218.26 and 33,269

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Solution

The fourth proportional to 42,235.70, 58,218.26 and 33,269 is: 45,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,235.70 : 58,218.26 = 33,269 : x
  2. Step 2: Convert to fraction form
    42,235.70/58,218.26 = 33,269/x
  3. Step 3: Cross multiply
    42,235.70x = 58,218.26 × 33,269
  4. Step 4: Simplify right side
    42,235.70x = 1,936,863,291.94
  5. Step 5: Solve for x
    x = 1,936,863,291.94/42,235.70
  6. Step 6: Final answer
    x = 45,858.44

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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.