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Finding the Fourth Proportional to 114,339, 171,520.38 and 31,233

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Solution

The fourth proportional to 114,339, 171,520.38 and 31,233 is: 46,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,339 : 171,520.38 = 31,233 : x
  2. Step 2: Convert to fraction form
    114,339/171,520.38 = 31,233/x
  3. Step 3: Cross multiply
    114,339x = 171,520.38 × 31,233
  4. Step 4: Simplify right side
    114,339x = 5,357,096,028.54
  5. Step 5: Solve for x
    x = 5,357,096,028.54/114,339
  6. Step 6: Final answer
    x = 46,852.75

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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.