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Finding the Fourth Proportional to 82,602.21, 123,942.99 and 45,160.77

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Solution

The fourth proportional to 82,602.21, 123,942.99 and 45,160.77 is: 67,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,602.21 : 123,942.99 = 45,160.77 : x
  2. Step 2: Convert to fraction form
    82,602.21/123,942.99 = 45,160.77/x
  3. Step 3: Cross multiply
    82,602.21x = 123,942.99 × 45,160.77
  4. Step 4: Simplify right side
    82,602.21x = 5,597,360,864.50
  5. Step 5: Solve for x
    x = 5,597,360,864.50/82,602.21
  6. Step 6: Final answer
    x = 67,762.85

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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.