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Finding the Fourth Proportional to 114,076.88, 171,115.31 and 30,970.88

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Solution

The fourth proportional to 114,076.88, 171,115.31 and 30,970.88 is: 46,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,076.88 : 171,115.31 = 30,970.88 : x
  2. Step 2: Convert to fraction form
    114,076.88/171,115.31 = 30,970.88/x
  3. Step 3: Cross multiply
    114,076.88x = 171,115.31 × 30,970.88
  4. Step 4: Simplify right side
    114,076.88x = 5,299,590,954.02
  5. Step 5: Solve for x
    x = 5,299,590,954.02/114,076.88
  6. Step 6: Final answer
    x = 46,456.31

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1.5x scale

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.