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Finding the Fourth Proportional to 65,406.82, 98,027.97 and 35,419.90

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Solution

The fourth proportional to 65,406.82, 98,027.97 and 35,419.90 is: 53,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,406.82 : 98,027.97 = 35,419.90 : x
  2. Step 2: Convert to fraction form
    65,406.82/98,027.97 = 35,419.90/x
  3. Step 3: Cross multiply
    65,406.82x = 98,027.97 × 35,419.90
  4. Step 4: Simplify right side
    65,406.82x = 3,472,140,894.60
  5. Step 5: Solve for x
    x = 3,472,140,894.60/65,406.82
  6. Step 6: Final answer
    x = 53,085.30

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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.