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Finding the Fourth Proportional to 37,796.96, 52,159.85 and 20,802.44

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Solution

The fourth proportional to 37,796.96, 52,159.85 and 20,802.44 is: 28,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,796.96 : 52,159.85 = 20,802.44 : x
  2. Step 2: Convert to fraction form
    37,796.96/52,159.85 = 20,802.44/x
  3. Step 3: Cross multiply
    37,796.96x = 52,159.85 × 20,802.44
  4. Step 4: Simplify right side
    37,796.96x = 1,085,051,961.03
  5. Step 5: Solve for x
    x = 1,085,051,961.03/37,796.96
  6. Step 6: Final answer
    x = 28,707.39

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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.