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Finding the Fourth Proportional to 50,114, 69,157.32 and 30,242

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Solution

The fourth proportional to 50,114, 69,157.32 and 30,242 is: 41,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,114 : 69,157.32 = 30,242 : x
  2. Step 2: Convert to fraction form
    50,114/69,157.32 = 30,242/x
  3. Step 3: Cross multiply
    50,114x = 69,157.32 × 30,242
  4. Step 4: Simplify right side
    50,114x = 2,091,455,671.44
  5. Step 5: Solve for x
    x = 2,091,455,671.44/50,114
  6. Step 6: Final answer
    x = 41,733.96

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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.