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Finding the Fourth Proportional to 82,137.46, 123,187.35 and 22,977.30

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Solution

The fourth proportional to 82,137.46, 123,187.35 and 22,977.30 is: 34,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,137.46 : 123,187.35 = 22,977.30 : x
  2. Step 2: Convert to fraction form
    82,137.46/123,187.35 = 22,977.30/x
  3. Step 3: Cross multiply
    82,137.46x = 123,187.35 × 22,977.30
  4. Step 4: Simplify right side
    82,137.46x = 2,830,512,697.16
  5. Step 5: Solve for x
    x = 2,830,512,697.16/82,137.46
  6. Step 6: Final answer
    x = 34,460.68

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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.