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Finding the Fourth Proportional to 57,537.42, 79,378.83 and 35,194.38

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Solution

The fourth proportional to 57,537.42, 79,378.83 and 35,194.38 is: 48,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,537.42 : 79,378.83 = 35,194.38 : x
  2. Step 2: Convert to fraction form
    57,537.42/79,378.83 = 35,194.38/x
  3. Step 3: Cross multiply
    57,537.42x = 79,378.83 × 35,194.38
  4. Step 4: Simplify right side
    57,537.42x = 2,793,688,706.98
  5. Step 5: Solve for x
    x = 2,793,688,706.98/57,537.42
  6. Step 6: Final answer
    x = 48,554.29

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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.