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Finding the Fourth Proportional to 43,784, 60,421.92 and 23,912

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Solution

The fourth proportional to 43,784, 60,421.92 and 23,912 is: 32,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,784 : 60,421.92 = 23,912 : x
  2. Step 2: Convert to fraction form
    43,784/60,421.92 = 23,912/x
  3. Step 3: Cross multiply
    43,784x = 60,421.92 × 23,912
  4. Step 4: Simplify right side
    43,784x = 1,444,808,951.04
  5. Step 5: Solve for x
    x = 1,444,808,951.04/43,784
  6. Step 6: Final answer
    x = 32,998.56

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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.