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Finding the Fourth Proportional to 50,724.42, 75,978.27 and 41,193.78

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Solution

The fourth proportional to 50,724.42, 75,978.27 and 41,193.78 is: 61,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,724.42 : 75,978.27 = 41,193.78 : x
  2. Step 2: Convert to fraction form
    50,724.42/75,978.27 = 41,193.78/x
  3. Step 3: Cross multiply
    50,724.42x = 75,978.27 × 41,193.78
  4. Step 4: Simplify right side
    50,724.42x = 3,129,832,139.16
  5. Step 5: Solve for x
    x = 3,129,832,139.16/50,724.42
  6. Step 6: Final answer
    x = 61,702.67

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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.