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Finding the Fourth Proportional to 36,997.51, 51,056.49 and 20,001.76

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Solution

The fourth proportional to 36,997.51, 51,056.49 and 20,001.76 is: 27,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,997.51 : 51,056.49 = 20,001.76 : x
  2. Step 2: Convert to fraction form
    36,997.51/51,056.49 = 20,001.76/x
  3. Step 3: Cross multiply
    36,997.51x = 51,056.49 × 20,001.76
  4. Step 4: Simplify right side
    36,997.51x = 1,021,219,659.42
  5. Step 5: Solve for x
    x = 1,021,219,659.42/36,997.51
  6. Step 6: Final answer
    x = 27,602.39

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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.