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Finding the Fourth Proportional to 83,222.45, 114,846.98 and 45,496.70

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Solution

The fourth proportional to 83,222.45, 114,846.98 and 45,496.70 is: 62,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,222.45 : 114,846.98 = 45,496.70 : x
  2. Step 2: Convert to fraction form
    83,222.45/114,846.98 = 45,496.70/x
  3. Step 3: Cross multiply
    83,222.45x = 114,846.98 × 45,496.70
  4. Step 4: Simplify right side
    83,222.45x = 5,225,157,793.25
  5. Step 5: Solve for x
    x = 5,225,157,793.25/83,222.45
  6. Step 6: Final answer
    x = 62,785.44

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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.