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Finding the Fourth Proportional to 42,183, 58,213.76 and 23,321.34

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Solution

The fourth proportional to 42,183, 58,213.76 and 23,321.34 is: 32,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,183 : 58,213.76 = 23,321.34 : x
  2. Step 2: Convert to fraction form
    42,183/58,213.76 = 23,321.34/x
  3. Step 3: Cross multiply
    42,183x = 58,213.76 × 23,321.34
  4. Step 4: Simplify right side
    42,183x = 1,357,622,773.03
  5. Step 5: Solve for x
    x = 1,357,622,773.03/42,183
  6. Step 6: Final answer
    x = 32,184.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.