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Finding the Fourth Proportional to 100,549.89, 150,824.81 and 25,670.03

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Solution

The fourth proportional to 100,549.89, 150,824.81 and 25,670.03 is: 38,505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,549.89 : 150,824.81 = 25,670.03 : x
  2. Step 2: Convert to fraction form
    100,549.89/150,824.81 = 25,670.03/x
  3. Step 3: Cross multiply
    100,549.89x = 150,824.81 × 25,670.03
  4. Step 4: Simplify right side
    100,549.89x = 3,871,676,514.97
  5. Step 5: Solve for x
    x = 3,871,676,514.97/100,549.89
  6. Step 6: Final answer
    x = 38,505.03

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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.