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Finding the Fourth Proportional to 65,082.60, 97,638.91 and 27,643.88

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Solution

The fourth proportional to 65,082.60, 97,638.91 and 27,643.88 is: 41,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,082.60 : 97,638.91 = 27,643.88 : x
  2. Step 2: Convert to fraction form
    65,082.60/97,638.91 = 27,643.88/x
  3. Step 3: Cross multiply
    65,082.60x = 97,638.91 × 27,643.88
  4. Step 4: Simplify right side
    65,082.60x = 2,699,118,311.37
  5. Step 5: Solve for x
    x = 2,699,118,311.37/65,082.60
  6. Step 6: Final answer
    x = 41,472.20

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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.