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Finding the Fourth Proportional to 65,205.12, 89,982.72 and 35,397.12

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Solution

The fourth proportional to 65,205.12, 89,982.72 and 35,397.12 is: 48,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.12 : 89,982.72 = 35,397.12 : x
  2. Step 2: Convert to fraction form
    65,205.12/89,982.72 = 35,397.12/x
  3. Step 3: Cross multiply
    65,205.12x = 89,982.72 × 35,397.12
  4. Step 4: Simplify right side
    65,205.12x = 3,185,129,137.77
  5. Step 5: Solve for x
    x = 3,185,129,137.77/65,205.12
  6. Step 6: Final answer
    x = 48,847.84

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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.