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Finding the Fourth Proportional to 50,200.80, 69,307.12 and 31,363.44

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Solution

The fourth proportional to 50,200.80, 69,307.12 and 31,363.44 is: 43,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,200.80 : 69,307.12 = 31,363.44 : x
  2. Step 2: Convert to fraction form
    50,200.80/69,307.12 = 31,363.44/x
  3. Step 3: Cross multiply
    50,200.80x = 69,307.12 × 31,363.44
  4. Step 4: Simplify right side
    50,200.80x = 2,173,709,699.69
  5. Step 5: Solve for x
    x = 2,173,709,699.69/50,200.80
  6. Step 6: Final answer
    x = 43,300.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.