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Finding the Fourth Proportional to 65,106.40, 97,659.60 and 35,581.90

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Solution

The fourth proportional to 65,106.40, 97,659.60 and 35,581.90 is: 53,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106.40 : 97,659.60 = 35,581.90 : x
  2. Step 2: Convert to fraction form
    65,106.40/97,659.60 = 35,581.90/x
  3. Step 3: Cross multiply
    65,106.40x = 97,659.60 × 35,581.90
  4. Step 4: Simplify right side
    65,106.40x = 3,474,914,121.24
  5. Step 5: Solve for x
    x = 3,474,914,121.24/65,106.40
  6. Step 6: Final answer
    x = 53,372.85

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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.