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Finding the Fourth Proportional to 50,166, 69,204.48 and 42,205.20

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Solution

The fourth proportional to 50,166, 69,204.48 and 42,205.20 is: 58,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,166 : 69,204.48 = 42,205.20 : x
  2. Step 2: Convert to fraction form
    50,166/69,204.48 = 42,205.20/x
  3. Step 3: Cross multiply
    50,166x = 69,204.48 × 42,205.20
  4. Step 4: Simplify right side
    50,166x = 2,920,788,919.30
  5. Step 5: Solve for x
    x = 2,920,788,919.30/50,166
  6. Step 6: Final answer
    x = 58,222.48

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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.