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Finding the Fourth Proportional to 107,284, 160,952 and 33,412

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Solution

The fourth proportional to 107,284, 160,952 and 33,412 is: 50,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,284 : 160,952 = 33,412 : x
  2. Step 2: Convert to fraction form
    107,284/160,952 = 33,412/x
  3. Step 3: Cross multiply
    107,284x = 160,952 × 33,412
  4. Step 4: Simplify right side
    107,284x = 5,377,728,224
  5. Step 5: Solve for x
    x = 5,377,728,224/107,284
  6. Step 6: Final answer
    x = 50,126.10

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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.