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Finding the Fourth Proportional to 82,263.15, 123,295.50 and 37,828.98

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Solution

The fourth proportional to 82,263.15, 123,295.50 and 37,828.98 is: 56,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,263.15 : 123,295.50 = 37,828.98 : x
  2. Step 2: Convert to fraction form
    82,263.15/123,295.50 = 37,828.98/x
  3. Step 3: Cross multiply
    82,263.15x = 123,295.50 × 37,828.98
  4. Step 4: Simplify right side
    82,263.15x = 4,664,143,003.59
  5. Step 5: Solve for x
    x = 4,664,143,003.59/82,263.15
  6. Step 6: Final answer
    x = 56,697.84

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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.