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Finding the Fourth Proportional to 42,240, 58,238.16 and 27,105.96

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Solution

The fourth proportional to 42,240, 58,238.16 and 27,105.96 is: 37,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,240 : 58,238.16 = 27,105.96 : x
  2. Step 2: Convert to fraction form
    42,240/58,238.16 = 27,105.96/x
  3. Step 3: Cross multiply
    42,240x = 58,238.16 × 27,105.96
  4. Step 4: Simplify right side
    42,240x = 1,578,601,235.43
  5. Step 5: Solve for x
    x = 1,578,601,235.43/42,240
  6. Step 6: Final answer
    x = 37,372.19

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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.