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Finding the Fourth Proportional to 107,652, 161,504.10 and 33,780

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Solution

The fourth proportional to 107,652, 161,504.10 and 33,780 is: 50,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,652 : 161,504.10 = 33,780 : x
  2. Step 2: Convert to fraction form
    107,652/161,504.10 = 33,780/x
  3. Step 3: Cross multiply
    107,652x = 161,504.10 × 33,780
  4. Step 4: Simplify right side
    107,652x = 5,455,608,498
  5. Step 5: Solve for x
    x = 5,455,608,498/107,652
  6. Step 6: Final answer
    x = 50,678.19

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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.