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Finding the Fourth Proportional to 49,202.82, 67,903.65 and 27,980.82

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Solution

The fourth proportional to 49,202.82, 67,903.65 and 27,980.82 is: 38,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,202.82 : 67,903.65 = 27,980.82 : x
  2. Step 2: Convert to fraction form
    49,202.82/67,903.65 = 27,980.82/x
  3. Step 3: Cross multiply
    49,202.82x = 67,903.65 × 27,980.82
  4. Step 4: Simplify right side
    49,202.82x = 1,899,999,807.99
  5. Step 5: Solve for x
    x = 1,899,999,807.99/49,202.82
  6. Step 6: Final answer
    x = 38,615.67

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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.