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Finding the Fourth Proportional to 65,200.55, 97,800.82 and 20,831.18

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Solution

The fourth proportional to 65,200.55, 97,800.82 and 20,831.18 is: 31,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.55 : 97,800.82 = 20,831.18 : x
  2. Step 2: Convert to fraction form
    65,200.55/97,800.82 = 20,831.18/x
  3. Step 3: Cross multiply
    65,200.55x = 97,800.82 × 20,831.18
  4. Step 4: Simplify right side
    65,200.55x = 2,037,305,944.49
  5. Step 5: Solve for x
    x = 2,037,305,944.49/65,200.55
  6. Step 6: Final answer
    x = 31,246.76

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1.5x scale

Why These Related Problems?

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