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Finding the Fourth Proportional to 38,687.68, 57,954.56 and 25,500

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Solution

The fourth proportional to 38,687.68, 57,954.56 and 25,500 is: 38,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,687.68 : 57,954.56 = 25,500 : x
  2. Step 2: Convert to fraction form
    38,687.68/57,954.56 = 25,500/x
  3. Step 3: Cross multiply
    38,687.68x = 57,954.56 × 25,500
  4. Step 4: Simplify right side
    38,687.68x = 1,477,841,280
  5. Step 5: Solve for x
    x = 1,477,841,280/38,687.68
  6. Step 6: Final answer
    x = 38,199.27

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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.