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Finding the Fourth Proportional to 57,855.42, 79,825.86 and 33,977.43

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Solution

The fourth proportional to 57,855.42, 79,825.86 and 33,977.43 is: 46,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,855.42 : 79,825.86 = 33,977.43 : x
  2. Step 2: Convert to fraction form
    57,855.42/79,825.86 = 33,977.43/x
  3. Step 3: Cross multiply
    57,855.42x = 79,825.86 × 33,977.43
  4. Step 4: Simplify right side
    57,855.42x = 2,712,277,570.34
  5. Step 5: Solve for x
    x = 2,712,277,570.34/57,855.42
  6. Step 6: Final answer
    x = 46,880.27

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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.