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Finding the Fourth Proportional to 38,452.77, 57,678.82 and 12,157.53

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Solution

The fourth proportional to 38,452.77, 57,678.82 and 12,157.53 is: 18,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,452.77 : 57,678.82 = 12,157.53 : x
  2. Step 2: Convert to fraction form
    38,452.77/57,678.82 = 12,157.53/x
  3. Step 3: Cross multiply
    38,452.77x = 57,678.82 × 12,157.53
  4. Step 4: Simplify right side
    38,452.77x = 701,231,984.51
  5. Step 5: Solve for x
    x = 701,231,984.51/38,452.77
  6. Step 6: Final answer
    x = 18,236.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.