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Finding the Fourth Proportional to 54,999, 75,900.24 and 29,850.12

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Solution

The fourth proportional to 54,999, 75,900.24 and 29,850.12 is: 41,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,999 : 75,900.24 = 29,850.12 : x
  2. Step 2: Convert to fraction form
    54,999/75,900.24 = 29,850.12/x
  3. Step 3: Cross multiply
    54,999x = 75,900.24 × 29,850.12
  4. Step 4: Simplify right side
    54,999x = 2,265,631,272.03
  5. Step 5: Solve for x
    x = 2,265,631,272.03/54,999
  6. Step 6: Final answer
    x = 41,194.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.