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Finding the Fourth Proportional to 42,046.85, 58,022.01 and 24,129.25

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Solution

The fourth proportional to 42,046.85, 58,022.01 and 24,129.25 is: 33,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,046.85 : 58,022.01 = 24,129.25 : x
  2. Step 2: Convert to fraction form
    42,046.85/58,022.01 = 24,129.25/x
  3. Step 3: Cross multiply
    42,046.85x = 58,022.01 × 24,129.25
  4. Step 4: Simplify right side
    42,046.85x = 1,400,027,439.74
  5. Step 5: Solve for x
    x = 1,400,027,439.74/42,046.85
  6. Step 6: Final answer
    x = 33,296.84

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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.