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Finding the Fourth Proportional to 133,769.68, 200,652.48 and 32,568.68

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Solution

The fourth proportional to 133,769.68, 200,652.48 and 32,568.68 is: 48,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,769.68 : 200,652.48 = 32,568.68 : x
  2. Step 2: Convert to fraction form
    133,769.68/200,652.48 = 32,568.68/x
  3. Step 3: Cross multiply
    133,769.68x = 200,652.48 × 32,568.68
  4. Step 4: Simplify right side
    133,769.68x = 6,534,986,412.33
  5. Step 5: Solve for x
    x = 6,534,986,412.33/133,769.68
  6. Step 6: Final answer
    x = 48,852.52

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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.