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Finding the Fourth Proportional to 82,115.02, 123,190.98 and 29,524.50

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Solution

The fourth proportional to 82,115.02, 123,190.98 and 29,524.50 is: 44,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,115.02 : 123,190.98 = 29,524.50 : x
  2. Step 2: Convert to fraction form
    82,115.02/123,190.98 = 29,524.50/x
  3. Step 3: Cross multiply
    82,115.02x = 123,190.98 × 29,524.50
  4. Step 4: Simplify right side
    82,115.02x = 3,637,151,978.29
  5. Step 5: Solve for x
    x = 3,637,151,978.29/82,115.02
  6. Step 6: Final answer
    x = 44,293.38

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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.