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Finding the Fourth Proportional to 50,503.83, 69,694.01 and 27,842.30

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Solution

The fourth proportional to 50,503.83, 69,694.01 and 27,842.30 is: 38,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,503.83 : 69,694.01 = 27,842.30 : x
  2. Step 2: Convert to fraction form
    50,503.83/69,694.01 = 27,842.30/x
  3. Step 3: Cross multiply
    50,503.83x = 69,694.01 × 27,842.30
  4. Step 4: Simplify right side
    50,503.83x = 1,940,441,373.55
  5. Step 5: Solve for x
    x = 1,940,441,373.55/50,503.83
  6. Step 6: Final answer
    x = 38,421.67

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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.