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Finding the Fourth Proportional to 82,222.70, 123,312.44 and 35,465.18

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Solution

The fourth proportional to 82,222.70, 123,312.44 and 35,465.18 is: 53,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222.70 : 123,312.44 = 35,465.18 : x
  2. Step 2: Convert to fraction form
    82,222.70/123,312.44 = 35,465.18/x
  3. Step 3: Cross multiply
    82,222.70x = 123,312.44 × 35,465.18
  4. Step 4: Simplify right side
    82,222.70x = 4,373,297,086.95
  5. Step 5: Solve for x
    x = 4,373,297,086.95/82,222.70
  6. Step 6: Final answer
    x = 53,188.44

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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.