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Finding the Fourth Proportional to 43,268, 59,709.84 and 23,396

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Solution

The fourth proportional to 43,268, 59,709.84 and 23,396 is: 32,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,268 : 59,709.84 = 23,396 : x
  2. Step 2: Convert to fraction form
    43,268/59,709.84 = 23,396/x
  3. Step 3: Cross multiply
    43,268x = 59,709.84 × 23,396
  4. Step 4: Simplify right side
    43,268x = 1,396,971,416.64
  5. Step 5: Solve for x
    x = 1,396,971,416.64/43,268
  6. Step 6: Final answer
    x = 32,286.48

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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.