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Finding the Fourth Proportional to 50,702.64, 69,933.42 and 38,745.36

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Solution

The fourth proportional to 50,702.64, 69,933.42 and 38,745.36 is: 53,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,702.64 : 69,933.42 = 38,745.36 : x
  2. Step 2: Convert to fraction form
    50,702.64/69,933.42 = 38,745.36/x
  3. Step 3: Cross multiply
    50,702.64x = 69,933.42 × 38,745.36
  4. Step 4: Simplify right side
    50,702.64x = 2,709,595,533.93
  5. Step 5: Solve for x
    x = 2,709,595,533.93/50,702.64
  6. Step 6: Final answer
    x = 53,440.92

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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.