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Finding the Fourth Proportional to 50,709.07, 69,977.20 and 28,047.50

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Solution

The fourth proportional to 50,709.07, 69,977.20 and 28,047.50 is: 38,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,709.07 : 69,977.20 = 28,047.50 : x
  2. Step 2: Convert to fraction form
    50,709.07/69,977.20 = 28,047.50/x
  3. Step 3: Cross multiply
    50,709.07x = 69,977.20 × 28,047.50
  4. Step 4: Simplify right side
    50,709.07x = 1,962,685,517
  5. Step 5: Solve for x
    x = 1,962,685,517/50,709.07
  6. Step 6: Final answer
    x = 38,704.82

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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.