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Finding the Fourth Proportional to 42,183, 58,213.50 and 27,304.92

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Solution

The fourth proportional to 42,183, 58,213.50 and 27,304.92 is: 37,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,183 : 58,213.50 = 27,304.92 : x
  2. Step 2: Convert to fraction form
    42,183/58,213.50 = 27,304.92/x
  3. Step 3: Cross multiply
    42,183x = 58,213.50 × 27,304.92
  4. Step 4: Simplify right side
    42,183x = 1,589,514,960.42
  5. Step 5: Solve for x
    x = 1,589,514,960.42/42,183
  6. Step 6: Final answer
    x = 37,681.41

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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.