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Finding the Fourth Proportional to 38,177.70, 57,262.92 and 23,379

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Solution

The fourth proportional to 38,177.70, 57,262.92 and 23,379 is: 35,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,177.70 : 57,262.92 = 23,379 : x
  2. Step 2: Convert to fraction form
    38,177.70/57,262.92 = 23,379/x
  3. Step 3: Cross multiply
    38,177.70x = 57,262.92 × 23,379
  4. Step 4: Simplify right side
    38,177.70x = 1,338,749,806.68
  5. Step 5: Solve for x
    x = 1,338,749,806.68/38,177.70
  6. Step 6: Final answer
    x = 35,066.28

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1.5x scale

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.