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Finding the Fourth Proportional to 50,504.50, 69,698.37 and 28,148.50

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Solution

The fourth proportional to 50,504.50, 69,698.37 and 28,148.50 is: 38,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,504.50 : 69,698.37 = 28,148.50 : x
  2. Step 2: Convert to fraction form
    50,504.50/69,698.37 = 28,148.50/x
  3. Step 3: Cross multiply
    50,504.50x = 69,698.37 × 28,148.50
  4. Step 4: Simplify right side
    50,504.50x = 1,961,904,567.95
  5. Step 5: Solve for x
    x = 1,961,904,567.95/50,504.50
  6. Step 6: Final answer
    x = 38,846.13

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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.