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Finding the Fourth Proportional to 75,082.32, 103,613 and 41,550.16

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Solution

The fourth proportional to 75,082.32, 103,613 and 41,550.16 is: 57,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082.32 : 103,613 = 41,550.16 : x
  2. Step 2: Convert to fraction form
    75,082.32/103,613 = 41,550.16/x
  3. Step 3: Cross multiply
    75,082.32x = 103,613 × 41,550.16
  4. Step 4: Simplify right side
    75,082.32x = 4,305,136,728.08
  5. Step 5: Solve for x
    x = 4,305,136,728.08/75,082.32
  6. Step 6: Final answer
    x = 57,338.89

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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.