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Finding the Fourth Proportional to 65,200.06, 97,795.22 and 20,831.50

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Solution

The fourth proportional to 65,200.06, 97,795.22 and 20,831.50 is: 31,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.06 : 97,795.22 = 20,831.50 : x
  2. Step 2: Convert to fraction form
    65,200.06/97,795.22 = 20,831.50/x
  3. Step 3: Cross multiply
    65,200.06x = 97,795.22 × 20,831.50
  4. Step 4: Simplify right side
    65,200.06x = 2,037,221,125.43
  5. Step 5: Solve for x
    x = 2,037,221,125.43/65,200.06
  6. Step 6: Final answer
    x = 31,245.69

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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.