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Finding the Fourth Proportional to 36,738, 50,698.32 and 19,970.88

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Solution

The fourth proportional to 36,738, 50,698.32 and 19,970.88 is: 27,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,738 : 50,698.32 = 19,970.88 : x
  2. Step 2: Convert to fraction form
    36,738/50,698.32 = 19,970.88/x
  3. Step 3: Cross multiply
    36,738x = 50,698.32 × 19,970.88
  4. Step 4: Simplify right side
    36,738x = 1,012,490,064.92
  5. Step 5: Solve for x
    x = 1,012,490,064.92/36,738
  6. Step 6: Final answer
    x = 27,559.75

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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.