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Finding the Fourth Proportional to 37,902, 52,305.84 and 21,136.08

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Solution

The fourth proportional to 37,902, 52,305.84 and 21,136.08 is: 29,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,902 : 52,305.84 = 21,136.08 : x
  2. Step 2: Convert to fraction form
    37,902/52,305.84 = 21,136.08/x
  3. Step 3: Cross multiply
    37,902x = 52,305.84 × 21,136.08
  4. Step 4: Simplify right side
    37,902x = 1,105,540,418.71
  5. Step 5: Solve for x
    x = 1,105,540,418.71/37,902
  6. Step 6: Final answer
    x = 29,168.39

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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.