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Finding the Fourth Proportional to 50,952.92, 70,311.02 and 28,289.78

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Solution

The fourth proportional to 50,952.92, 70,311.02 and 28,289.78 is: 39,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,952.92 : 70,311.02 = 28,289.78 : x
  2. Step 2: Convert to fraction form
    50,952.92/70,311.02 = 28,289.78/x
  3. Step 3: Cross multiply
    50,952.92x = 70,311.02 × 28,289.78
  4. Step 4: Simplify right side
    50,952.92x = 1,989,083,287.38
  5. Step 5: Solve for x
    x = 1,989,083,287.38/50,952.92
  6. Step 6: Final answer
    x = 39,037.67

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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.