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Finding the Fourth Proportional to 65,125.80, 97,721.10 and 37,067.40

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Solution

The fourth proportional to 65,125.80, 97,721.10 and 37,067.40 is: 55,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,125.80 : 97,721.10 = 37,067.40 : x
  2. Step 2: Convert to fraction form
    65,125.80/97,721.10 = 37,067.40/x
  3. Step 3: Cross multiply
    65,125.80x = 97,721.10 × 37,067.40
  4. Step 4: Simplify right side
    65,125.80x = 3,622,267,102.14
  5. Step 5: Solve for x
    x = 3,622,267,102.14/65,125.80
  6. Step 6: Final answer
    x = 55,619.54

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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.