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Finding the Fourth Proportional to 36,137, 54,196.30 and 9,840.36

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Solution

The fourth proportional to 36,137, 54,196.30 and 9,840.36 is: 14,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,137 : 54,196.30 = 9,840.36 : x
  2. Step 2: Convert to fraction form
    36,137/54,196.30 = 9,840.36/x
  3. Step 3: Cross multiply
    36,137x = 54,196.30 × 9,840.36
  4. Step 4: Simplify right side
    36,137x = 533,311,102.67
  5. Step 5: Solve for x
    x = 533,311,102.67/36,137
  6. Step 6: Final answer
    x = 14,758.03

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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.