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Finding the Fourth Proportional to 114,513.75, 171,775.49 and 31,407.75

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Solution

The fourth proportional to 114,513.75, 171,775.49 and 31,407.75 is: 47,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,513.75 : 171,775.49 = 31,407.75 : x
  2. Step 2: Convert to fraction form
    114,513.75/171,775.49 = 31,407.75/x
  3. Step 3: Cross multiply
    114,513.75x = 171,775.49 × 31,407.75
  4. Step 4: Simplify right side
    114,513.75x = 5,395,081,489.01
  5. Step 5: Solve for x
    x = 5,395,081,489.01/114,513.75
  6. Step 6: Final answer
    x = 47,112.96

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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.