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Finding the Fourth Proportional to 73,684.07, 101,686.34 and 41,851.07

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Solution

The fourth proportional to 73,684.07, 101,686.34 and 41,851.07 is: 57,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,684.07 : 101,686.34 = 41,851.07 : x
  2. Step 2: Convert to fraction form
    73,684.07/101,686.34 = 41,851.07/x
  3. Step 3: Cross multiply
    73,684.07x = 101,686.34 × 41,851.07
  4. Step 4: Simplify right side
    73,684.07x = 4,255,682,133.38
  5. Step 5: Solve for x
    x = 4,255,682,133.38/73,684.07
  6. Step 6: Final answer
    x = 57,755.80

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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.