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Finding the Fourth Proportional to 36,997, 51,043.38 and 21,070.18

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Solution

The fourth proportional to 36,997, 51,043.38 and 21,070.18 is: 29,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,997 : 51,043.38 = 21,070.18 : x
  2. Step 2: Convert to fraction form
    36,997/51,043.38 = 21,070.18/x
  3. Step 3: Cross multiply
    36,997x = 51,043.38 × 21,070.18
  4. Step 4: Simplify right side
    36,997x = 1,075,493,204.41
  5. Step 5: Solve for x
    x = 1,075,493,204.41/36,997
  6. Step 6: Final answer
    x = 29,069.74

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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.