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Finding the Fourth Proportional to 114,780.21, 172,170.09 and 30,540.37

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Solution

The fourth proportional to 114,780.21, 172,170.09 and 30,540.37 is: 45,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,780.21 : 172,170.09 = 30,540.37 : x
  2. Step 2: Convert to fraction form
    114,780.21/172,170.09 = 30,540.37/x
  3. Step 3: Cross multiply
    114,780.21x = 172,170.09 × 30,540.37
  4. Step 4: Simplify right side
    114,780.21x = 5,258,138,878.05
  5. Step 5: Solve for x
    x = 5,258,138,878.05/114,780.21
  6. Step 6: Final answer
    x = 45,810.50

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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.