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Finding the Fourth Proportional to 100,365.15, 150,547.98 and 33,852

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Solution

The fourth proportional to 100,365.15, 150,547.98 and 33,852 is: 50,778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,365.15 : 150,547.98 = 33,852 : x
  2. Step 2: Convert to fraction form
    100,365.15/150,547.98 = 33,852/x
  3. Step 3: Cross multiply
    100,365.15x = 150,547.98 × 33,852
  4. Step 4: Simplify right side
    100,365.15x = 5,096,350,218.96
  5. Step 5: Solve for x
    x = 5,096,350,218.96/100,365.15
  6. Step 6: Final answer
    x = 50,778.09

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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.