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Finding the Fourth Proportional to 65,082.84, 89,779.58 and 39,597

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Solution

The fourth proportional to 65,082.84, 89,779.58 and 39,597 is: 54,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,082.84 : 89,779.58 = 39,597 : x
  2. Step 2: Convert to fraction form
    65,082.84/89,779.58 = 39,597/x
  3. Step 3: Cross multiply
    65,082.84x = 89,779.58 × 39,597
  4. Step 4: Simplify right side
    65,082.84x = 3,555,002,029.26
  5. Step 5: Solve for x
    x = 3,555,002,029.26/65,082.84
  6. Step 6: Final answer
    x = 54,622.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.