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Finding the Fourth Proportional to 94,400, 141,600 and 38,997.44

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Solution

The fourth proportional to 94,400, 141,600 and 38,997.44 is: 58,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,400 : 141,600 = 38,997.44 : x
  2. Step 2: Convert to fraction form
    94,400/141,600 = 38,997.44/x
  3. Step 3: Cross multiply
    94,400x = 141,600 × 38,997.44
  4. Step 4: Simplify right side
    94,400x = 5,522,037,504
  5. Step 5: Solve for x
    x = 5,522,037,504/94,400
  6. Step 6: Final answer
    x = 58,496.16

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Why These Related Problems?

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