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Finding the Fourth Proportional to 82,380.33, 113,697 and 52,168.41

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Solution

The fourth proportional to 82,380.33, 113,697 and 52,168.41 is: 72,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,380.33 : 113,697 = 52,168.41 : x
  2. Step 2: Convert to fraction form
    82,380.33/113,697 = 52,168.41/x
  3. Step 3: Cross multiply
    82,380.33x = 113,697 × 52,168.41
  4. Step 4: Simplify right side
    82,380.33x = 5,931,391,711.77
  5. Step 5: Solve for x
    x = 5,931,391,711.77/82,380.33
  6. Step 6: Final answer
    x = 72,000.10

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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.