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Finding the Fourth Proportional to 30,867.75, 46,242.46 and 18,349.88

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Solution

The fourth proportional to 30,867.75, 46,242.46 and 18,349.88 is: 27,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.75 : 46,242.46 = 18,349.88 : x
  2. Step 2: Convert to fraction form
    30,867.75/46,242.46 = 18,349.88/x
  3. Step 3: Cross multiply
    30,867.75x = 46,242.46 × 18,349.88
  4. Step 4: Simplify right side
    30,867.75x = 848,543,383.63
  5. Step 5: Solve for x
    x = 848,543,383.63/30,867.75
  6. Step 6: Final answer
    x = 27,489.64

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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.