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Finding the Fourth Proportional to 107,893, 161,839.50 and 34,021

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Solution

The fourth proportional to 107,893, 161,839.50 and 34,021 is: 51,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,893 : 161,839.50 = 34,021 : x
  2. Step 2: Convert to fraction form
    107,893/161,839.50 = 34,021/x
  3. Step 3: Cross multiply
    107,893x = 161,839.50 × 34,021
  4. Step 4: Simplify right side
    107,893x = 5,505,941,629.50
  5. Step 5: Solve for x
    x = 5,505,941,629.50/107,893
  6. Step 6: Final answer
    x = 51,031.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.