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Finding the Fourth Proportional to 41,390.79, 57,104.47 and 27,782.16

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Solution

The fourth proportional to 41,390.79, 57,104.47 and 27,782.16 is: 38,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,390.79 : 57,104.47 = 27,782.16 : x
  2. Step 2: Convert to fraction form
    41,390.79/57,104.47 = 27,782.16/x
  3. Step 3: Cross multiply
    41,390.79x = 57,104.47 × 27,782.16
  4. Step 4: Simplify right side
    41,390.79x = 1,586,485,522.26
  5. Step 5: Solve for x
    x = 1,586,485,522.26/41,390.79
  6. Step 6: Final answer
    x = 38,329.43

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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.