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Finding the Fourth Proportional to 41,833.99, 57,710.64 and 27,698.68

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Solution

The fourth proportional to 41,833.99, 57,710.64 and 27,698.68 is: 38,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,833.99 : 57,710.64 = 27,698.68 : x
  2. Step 2: Convert to fraction form
    41,833.99/57,710.64 = 27,698.68/x
  3. Step 3: Cross multiply
    41,833.99x = 57,710.64 × 27,698.68
  4. Step 4: Simplify right side
    41,833.99x = 1,598,508,549.96
  5. Step 5: Solve for x
    x = 1,598,508,549.96/41,833.99
  6. Step 6: Final answer
    x = 38,210.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.