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Finding the Fourth Proportional to 37,049, 51,127.62 and 20,282

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Solution

The fourth proportional to 37,049, 51,127.62 and 20,282 is: 27,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,049 : 51,127.62 = 20,282 : x
  2. Step 2: Convert to fraction form
    37,049/51,127.62 = 20,282/x
  3. Step 3: Cross multiply
    37,049x = 51,127.62 × 20,282
  4. Step 4: Simplify right side
    37,049x = 1,036,970,388.84
  5. Step 5: Solve for x
    x = 1,036,970,388.84/37,049
  6. Step 6: Final answer
    x = 27,989.16

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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.