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Finding the Fourth Proportional to 114,984.50, 172,450.82 and 31,884.98

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Solution

The fourth proportional to 114,984.50, 172,450.82 and 31,884.98 is: 47,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,984.50 : 172,450.82 = 31,884.98 : x
  2. Step 2: Convert to fraction form
    114,984.50/172,450.82 = 31,884.98/x
  3. Step 3: Cross multiply
    114,984.50x = 172,450.82 × 31,884.98
  4. Step 4: Simplify right side
    114,984.50x = 5,498,590,164.14
  5. Step 5: Solve for x
    x = 5,498,590,164.14/114,984.50
  6. Step 6: Final answer
    x = 47,820.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.