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Finding the Fourth Proportional to 50,087.50, 69,122.91 and 27,731.50

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Solution

The fourth proportional to 50,087.50, 69,122.91 and 27,731.50 is: 38,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,087.50 : 69,122.91 = 27,731.50 : x
  2. Step 2: Convert to fraction form
    50,087.50/69,122.91 = 27,731.50/x
  3. Step 3: Cross multiply
    50,087.50x = 69,122.91 × 27,731.50
  4. Step 4: Simplify right side
    50,087.50x = 1,916,881,978.67
  5. Step 5: Solve for x
    x = 1,916,881,978.67/50,087.50
  6. Step 6: Final answer
    x = 38,270.67

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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.