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Finding the Fourth Proportional to 43,311, 59,769.21 and 23,439

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Solution

The fourth proportional to 43,311, 59,769.21 and 23,439 is: 32,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,311 : 59,769.21 = 23,439 : x
  2. Step 2: Convert to fraction form
    43,311/59,769.21 = 23,439/x
  3. Step 3: Cross multiply
    43,311x = 59,769.21 × 23,439
  4. Step 4: Simplify right side
    43,311x = 1,400,930,513.19
  5. Step 5: Solve for x
    x = 1,400,930,513.19/43,311
  6. Step 6: Final answer
    x = 32,345.84

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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.