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Finding the Fourth Proportional to 35,844.26, 53,768.02 and 12,472.52

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Solution

The fourth proportional to 35,844.26, 53,768.02 and 12,472.52 is: 18,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,844.26 : 53,768.02 = 12,472.52 : x
  2. Step 2: Convert to fraction form
    35,844.26/53,768.02 = 12,472.52/x
  3. Step 3: Cross multiply
    35,844.26x = 53,768.02 × 12,472.52
  4. Step 4: Simplify right side
    35,844.26x = 670,622,704.81
  5. Step 5: Solve for x
    x = 670,622,704.81/35,844.26
  6. Step 6: Final answer
    x = 18,709.35

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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.