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Finding the Fourth Proportional to 82,896.69, 124,389.05 and 36,153.21

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Solution

The fourth proportional to 82,896.69, 124,389.05 and 36,153.21 is: 54,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,896.69 : 124,389.05 = 36,153.21 : x
  2. Step 2: Convert to fraction form
    82,896.69/124,389.05 = 36,153.21/x
  3. Step 3: Cross multiply
    82,896.69x = 124,389.05 × 36,153.21
  4. Step 4: Simplify right side
    82,896.69x = 4,497,063,265.58
  5. Step 5: Solve for x
    x = 4,497,063,265.58/82,896.69
  6. Step 6: Final answer
    x = 54,249.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.