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Finding the Fourth Proportional to 36,812.88, 50,801.64 and 20,046

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Solution

The fourth proportional to 36,812.88, 50,801.64 and 20,046 is: 27,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,812.88 : 50,801.64 = 20,046 : x
  2. Step 2: Convert to fraction form
    36,812.88/50,801.64 = 20,046/x
  3. Step 3: Cross multiply
    36,812.88x = 50,801.64 × 20,046
  4. Step 4: Simplify right side
    36,812.88x = 1,018,369,675.44
  5. Step 5: Solve for x
    x = 1,018,369,675.44/36,812.88
  6. Step 6: Final answer
    x = 27,663.41

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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.