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Finding the Fourth Proportional to 114,058.44, 171,084.78 and 30,950.28

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Solution

The fourth proportional to 114,058.44, 171,084.78 and 30,950.28 is: 46,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,058.44 : 171,084.78 = 30,950.28 : x
  2. Step 2: Convert to fraction form
    114,058.44/171,084.78 = 30,950.28/x
  3. Step 3: Cross multiply
    114,058.44x = 171,084.78 × 30,950.28
  4. Step 4: Simplify right side
    114,058.44x = 5,295,121,844.74
  5. Step 5: Solve for x
    x = 5,295,121,844.74/114,058.44
  6. Step 6: Final answer
    x = 46,424.64

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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.