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Finding the Fourth Proportional to 50,501.99, 69,692.96 and 27,840.47

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Solution

The fourth proportional to 50,501.99, 69,692.96 and 27,840.47 is: 38,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,501.99 : 69,692.96 = 27,840.47 : x
  2. Step 2: Convert to fraction form
    50,501.99/69,692.96 = 27,840.47/x
  3. Step 3: Cross multiply
    50,501.99x = 69,692.96 × 27,840.47
  4. Step 4: Simplify right side
    50,501.99x = 1,940,284,483.23
  5. Step 5: Solve for x
    x = 1,940,284,483.23/50,501.99
  6. Step 6: Final answer
    x = 38,419.96

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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.