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Finding the Fourth Proportional to 65,175.38, 97,800.04 and 35,189.22

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Solution

The fourth proportional to 65,175.38, 97,800.04 and 35,189.22 is: 52,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,175.38 : 97,800.04 = 35,189.22 : x
  2. Step 2: Convert to fraction form
    65,175.38/97,800.04 = 35,189.22/x
  3. Step 3: Cross multiply
    65,175.38x = 97,800.04 × 35,189.22
  4. Step 4: Simplify right side
    65,175.38x = 3,441,507,123.57
  5. Step 5: Solve for x
    x = 3,441,507,123.57/65,175.38
  6. Step 6: Final answer
    x = 52,803.79

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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.