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Finding the Fourth Proportional to 65,211.50, 97,831.28 and 20,231.96

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Solution

The fourth proportional to 65,211.50, 97,831.28 and 20,231.96 is: 30,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,211.50 : 97,831.28 = 20,231.96 : x
  2. Step 2: Convert to fraction form
    65,211.50/97,831.28 = 20,231.96/x
  3. Step 3: Cross multiply
    65,211.50x = 97,831.28 × 20,231.96
  4. Step 4: Simplify right side
    65,211.50x = 1,979,317,953.39
  5. Step 5: Solve for x
    x = 1,979,317,953.39/65,211.50
  6. Step 6: Final answer
    x = 30,352.29

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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.