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Finding the Fourth Proportional to 114,135.42, 171,203.31 and 31,029.42

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Solution

The fourth proportional to 114,135.42, 171,203.31 and 31,029.42 is: 46,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,135.42 : 171,203.31 = 31,029.42 : x
  2. Step 2: Convert to fraction form
    114,135.42/171,203.31 = 31,029.42/x
  3. Step 3: Cross multiply
    114,135.42x = 171,203.31 × 31,029.42
  4. Step 4: Simplify right side
    114,135.42x = 5,312,339,411.38
  5. Step 5: Solve for x
    x = 5,312,339,411.38/114,135.42
  6. Step 6: Final answer
    x = 46,544.18

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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.