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Finding the Fourth Proportional to 71,745.90, 98,994.33 and 41,529.42

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Solution

The fourth proportional to 71,745.90, 98,994.33 and 41,529.42 is: 57,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,745.90 : 98,994.33 = 41,529.42 : x
  2. Step 2: Convert to fraction form
    71,745.90/98,994.33 = 41,529.42/x
  3. Step 3: Cross multiply
    71,745.90x = 98,994.33 × 41,529.42
  4. Step 4: Simplify right side
    71,745.90x = 4,111,177,108.19
  5. Step 5: Solve for x
    x = 4,111,177,108.19/71,745.90
  6. Step 6: Final answer
    x = 57,301.91

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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.