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Finding the Fourth Proportional to 76,896.52, 106,109.85 and 46,698.38

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Solution

The fourth proportional to 76,896.52, 106,109.85 and 46,698.38 is: 64,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,896.52 : 106,109.85 = 46,698.38 : x
  2. Step 2: Convert to fraction form
    76,896.52/106,109.85 = 46,698.38/x
  3. Step 3: Cross multiply
    76,896.52x = 106,109.85 × 46,698.38
  4. Step 4: Simplify right side
    76,896.52x = 4,955,158,175.28
  5. Step 5: Solve for x
    x = 4,955,158,175.28/76,896.52
  6. Step 6: Final answer
    x = 64,439.30

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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.