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Finding the Fourth Proportional to 38,000, 57,000.02 and 10,298

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Solution

The fourth proportional to 38,000, 57,000.02 and 10,298 is: 15,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000 : 57,000.02 = 10,298 : x
  2. Step 2: Convert to fraction form
    38,000/57,000.02 = 10,298/x
  3. Step 3: Cross multiply
    38,000x = 57,000.02 × 10,298
  4. Step 4: Simplify right side
    38,000x = 586,986,205.96
  5. Step 5: Solve for x
    x = 586,986,205.96/38,000
  6. Step 6: Final answer
    x = 15,447.01

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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.