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Finding the Fourth Proportional to 52,361.70, 78,548.01 and 16,814.04

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Solution

The fourth proportional to 52,361.70, 78,548.01 and 16,814.04 is: 25,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,361.70 : 78,548.01 = 16,814.04 : x
  2. Step 2: Convert to fraction form
    52,361.70/78,548.01 = 16,814.04/x
  3. Step 3: Cross multiply
    52,361.70x = 78,548.01 × 16,814.04
  4. Step 4: Simplify right side
    52,361.70x = 1,320,709,382.06
  5. Step 5: Solve for x
    x = 1,320,709,382.06/52,361.70
  6. Step 6: Final answer
    x = 25,222.81

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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.