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Finding the Fourth Proportional to 82,511.86, 113,866.47 and 44,786.12

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Solution

The fourth proportional to 82,511.86, 113,866.47 and 44,786.12 is: 61,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,511.86 : 113,866.47 = 44,786.12 : x
  2. Step 2: Convert to fraction form
    82,511.86/113,866.47 = 44,786.12/x
  3. Step 3: Cross multiply
    82,511.86x = 113,866.47 × 44,786.12
  4. Step 4: Simplify right side
    82,511.86x = 5,099,637,389.40
  5. Step 5: Solve for x
    x = 5,099,637,389.40/82,511.86
  6. Step 6: Final answer
    x = 61,804.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.