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Finding the Fourth Proportional to 30,958.14, 46,443.93 and 10,180.86

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Solution

The fourth proportional to 30,958.14, 46,443.93 and 10,180.86 is: 15,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,958.14 : 46,443.93 = 10,180.86 : x
  2. Step 2: Convert to fraction form
    30,958.14/46,443.93 = 10,180.86/x
  3. Step 3: Cross multiply
    30,958.14x = 46,443.93 × 10,180.86
  4. Step 4: Simplify right side
    30,958.14x = 472,839,149.18
  5. Step 5: Solve for x
    x = 472,839,149.18/30,958.14
  6. Step 6: Final answer
    x = 15,273.50

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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.