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Finding the Fourth Proportional to 65,185.32, 97,703.42 and 27,690.42

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Solution

The fourth proportional to 65,185.32, 97,703.42 and 27,690.42 is: 41,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,185.32 : 97,703.42 = 27,690.42 : x
  2. Step 2: Convert to fraction form
    65,185.32/97,703.42 = 27,690.42/x
  3. Step 3: Cross multiply
    65,185.32x = 97,703.42 × 27,690.42
  4. Step 4: Simplify right side
    65,185.32x = 2,705,448,735.24
  5. Step 5: Solve for x
    x = 2,705,448,735.24/65,185.32
  6. Step 6: Final answer
    x = 41,503.96

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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.