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Finding the Fourth Proportional to 89,212.56, 123,114.72 and 48,930

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Solution

The fourth proportional to 89,212.56, 123,114.72 and 48,930 is: 67,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,212.56 : 123,114.72 = 48,930 : x
  2. Step 2: Convert to fraction form
    89,212.56/123,114.72 = 48,930/x
  3. Step 3: Cross multiply
    89,212.56x = 123,114.72 × 48,930
  4. Step 4: Simplify right side
    89,212.56x = 6,024,003,249.60
  5. Step 5: Solve for x
    x = 6,024,003,249.60/89,212.56
  6. Step 6: Final answer
    x = 67,524.16

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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.