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Finding the Fourth Proportional to 82,998.38, 124,497.50 and 30,411.98

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Solution

The fourth proportional to 82,998.38, 124,497.50 and 30,411.98 is: 45,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,998.38 : 124,497.50 = 30,411.98 : x
  2. Step 2: Convert to fraction form
    82,998.38/124,497.50 = 30,411.98/x
  3. Step 3: Cross multiply
    82,998.38x = 124,497.50 × 30,411.98
  4. Step 4: Simplify right side
    82,998.38x = 3,786,215,480.05
  5. Step 5: Solve for x
    x = 3,786,215,480.05/82,998.38
  6. Step 6: Final answer
    x = 45,617.94

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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.