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Finding the Fourth Proportional to 114,182.96, 171,274.44 and 31,076.96

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Solution

The fourth proportional to 114,182.96, 171,274.44 and 31,076.96 is: 46,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,182.96 : 171,274.44 = 31,076.96 : x
  2. Step 2: Convert to fraction form
    114,182.96/171,274.44 = 31,076.96/x
  3. Step 3: Cross multiply
    114,182.96x = 171,274.44 × 31,076.96
  4. Step 4: Simplify right side
    114,182.96x = 5,322,688,920.90
  5. Step 5: Solve for x
    x = 5,322,688,920.90/114,182.96
  6. Step 6: Final answer
    x = 46,615.44

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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.