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Finding the Fourth Proportional to 101,329, 151,993.52 and 27,457

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Solution

The fourth proportional to 101,329, 151,993.52 and 27,457 is: 41,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,329 : 151,993.52 = 27,457 : x
  2. Step 2: Convert to fraction form
    101,329/151,993.52 = 27,457/x
  3. Step 3: Cross multiply
    101,329x = 151,993.52 × 27,457
  4. Step 4: Simplify right side
    101,329x = 4,173,286,078.64
  5. Step 5: Solve for x
    x = 4,173,286,078.64/101,329
  6. Step 6: Final answer
    x = 41,185.51

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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.