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Finding the Fourth Proportional to 38,064, 57,116.46 and 15,892.56

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Solution

The fourth proportional to 38,064, 57,116.46 and 15,892.56 is: 23,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064 : 57,116.46 = 15,892.56 : x
  2. Step 2: Convert to fraction form
    38,064/57,116.46 = 15,892.56/x
  3. Step 3: Cross multiply
    38,064x = 57,116.46 × 15,892.56
  4. Step 4: Simplify right side
    38,064x = 907,726,767.54
  5. Step 5: Solve for x
    x = 907,726,767.54/38,064
  6. Step 6: Final answer
    x = 23,847.38

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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.