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Finding the Fourth Proportional to 100,599.84, 150,965.28 and 38,270.88

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Solution

The fourth proportional to 100,599.84, 150,965.28 and 38,270.88 is: 57,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,599.84 : 150,965.28 = 38,270.88 : x
  2. Step 2: Convert to fraction form
    100,599.84/150,965.28 = 38,270.88/x
  3. Step 3: Cross multiply
    100,599.84x = 150,965.28 × 38,270.88
  4. Step 4: Simplify right side
    100,599.84x = 5,777,574,115.05
  5. Step 5: Solve for x
    x = 5,777,574,115.05/100,599.84
  6. Step 6: Final answer
    x = 57,431.25

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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.