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Finding the Fourth Proportional to 82,634.86, 114,033.74 and 46,836.44

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Solution

The fourth proportional to 82,634.86, 114,033.74 and 46,836.44 is: 64,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,634.86 : 114,033.74 = 46,836.44 : x
  2. Step 2: Convert to fraction form
    82,634.86/114,033.74 = 46,836.44/x
  3. Step 3: Cross multiply
    82,634.86x = 114,033.74 × 46,836.44
  4. Step 4: Simplify right side
    82,634.86x = 5,340,934,421.49
  5. Step 5: Solve for x
    x = 5,340,934,421.49/82,634.86
  6. Step 6: Final answer
    x = 64,632.95

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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.