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Finding the Fourth Proportional to 36,741, 50,702.64 and 19,974

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Solution

The fourth proportional to 36,741, 50,702.64 and 19,974 is: 27,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,741 : 50,702.64 = 19,974 : x
  2. Step 2: Convert to fraction form
    36,741/50,702.64 = 19,974/x
  3. Step 3: Cross multiply
    36,741x = 50,702.64 × 19,974
  4. Step 4: Simplify right side
    36,741x = 1,012,734,531.36
  5. Step 5: Solve for x
    x = 1,012,734,531.36/36,741
  6. Step 6: Final answer
    x = 27,564.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.