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Finding the Fourth Proportional to 57,784.94, 86,558.02 and 34,019.26

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Solution

The fourth proportional to 57,784.94, 86,558.02 and 34,019.26 is: 50,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,784.94 : 86,558.02 = 34,019.26 : x
  2. Step 2: Convert to fraction form
    57,784.94/86,558.02 = 34,019.26/x
  3. Step 3: Cross multiply
    57,784.94x = 86,558.02 × 34,019.26
  4. Step 4: Simplify right side
    57,784.94x = 2,944,639,787.47
  5. Step 5: Solve for x
    x = 2,944,639,787.47/57,784.94
  6. Step 6: Final answer
    x = 50,958.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.