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Finding the Fourth Proportional to 102,622.80, 153,918.81 and 32,493

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Solution

The fourth proportional to 102,622.80, 153,918.81 and 32,493 is: 48,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,622.80 : 153,918.81 = 32,493 : x
  2. Step 2: Convert to fraction form
    102,622.80/153,918.81 = 32,493/x
  3. Step 3: Cross multiply
    102,622.80x = 153,918.81 × 32,493
  4. Step 4: Simplify right side
    102,622.80x = 5,001,283,893.33
  5. Step 5: Solve for x
    x = 5,001,283,893.33/102,622.80
  6. Step 6: Final answer
    x = 48,734.63

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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.