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Finding the Fourth Proportional to 38,114.84, 57,175.50 and 13,144.77

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Solution

The fourth proportional to 38,114.84, 57,175.50 and 13,144.77 is: 19,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.84 : 57,175.50 = 13,144.77 : x
  2. Step 2: Convert to fraction form
    38,114.84/57,175.50 = 13,144.77/x
  3. Step 3: Cross multiply
    38,114.84x = 57,175.50 × 13,144.77
  4. Step 4: Simplify right side
    38,114.84x = 751,558,797.14
  5. Step 5: Solve for x
    x = 751,558,797.14/38,114.84
  6. Step 6: Final answer
    x = 19,718.27

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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.