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Finding the Fourth Proportional to 65,108.30, 89,856.16 and 39,616.50

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Solution

The fourth proportional to 65,108.30, 89,856.16 and 39,616.50 is: 54,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,108.30 : 89,856.16 = 39,616.50 : x
  2. Step 2: Convert to fraction form
    65,108.30/89,856.16 = 39,616.50/x
  3. Step 3: Cross multiply
    65,108.30x = 89,856.16 × 39,616.50
  4. Step 4: Simplify right side
    65,108.30x = 3,559,786,562.64
  5. Step 5: Solve for x
    x = 3,559,786,562.64/65,108.30
  6. Step 6: Final answer
    x = 54,674.85

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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.