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Finding the Fourth Proportional to 114,745.32, 172,137.96 and 35,839.44

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Solution

The fourth proportional to 114,745.32, 172,137.96 and 35,839.44 is: 53,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,745.32 : 172,137.96 = 35,839.44 : x
  2. Step 2: Convert to fraction form
    114,745.32/172,137.96 = 35,839.44/x
  3. Step 3: Cross multiply
    114,745.32x = 172,137.96 × 35,839.44
  4. Step 4: Simplify right side
    114,745.32x = 6,169,328,089.14
  5. Step 5: Solve for x
    x = 6,169,328,089.14/114,745.32
  6. Step 6: Final answer
    x = 53,765.40

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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.