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Finding the Fourth Proportional to 114,076.74, 171,144.27 and 47,494.74

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Solution

The fourth proportional to 114,076.74, 171,144.27 and 47,494.74 is: 71,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,076.74 : 171,144.27 = 47,494.74 : x
  2. Step 2: Convert to fraction form
    114,076.74/171,144.27 = 47,494.74/x
  3. Step 3: Cross multiply
    114,076.74x = 171,144.27 × 47,494.74
  4. Step 4: Simplify right side
    114,076.74x = 8,128,452,606.14
  5. Step 5: Solve for x
    x = 8,128,452,606.14/114,076.74
  6. Step 6: Final answer
    x = 71,254.25

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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.