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Finding the Fourth Proportional to 36,164.94, 54,247.41 and 9,869.10

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Solution

The fourth proportional to 36,164.94, 54,247.41 and 9,869.10 is: 14,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164.94 : 54,247.41 = 9,869.10 : x
  2. Step 2: Convert to fraction form
    36,164.94/54,247.41 = 9,869.10/x
  3. Step 3: Cross multiply
    36,164.94x = 54,247.41 × 9,869.10
  4. Step 4: Simplify right side
    36,164.94x = 535,373,114.03
  5. Step 5: Solve for x
    x = 535,373,114.03/36,164.94
  6. Step 6: Final answer
    x = 14,803.65

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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.