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Finding the Fourth Proportional to 65,524.32, 98,282.16 and 21,162.24

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Solution

The fourth proportional to 65,524.32, 98,282.16 and 21,162.24 is: 31,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524.32 : 98,282.16 = 21,162.24 : x
  2. Step 2: Convert to fraction form
    65,524.32/98,282.16 = 21,162.24/x
  3. Step 3: Cross multiply
    65,524.32x = 98,282.16 × 21,162.24
  4. Step 4: Simplify right side
    65,524.32x = 2,079,870,657.64
  5. Step 5: Solve for x
    x = 2,079,870,657.64/65,524.32
  6. Step 6: Final answer
    x = 31,741.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.