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Finding the Fourth Proportional to 81,874.90, 112,979.32 and 46,064.14

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Solution

The fourth proportional to 81,874.90, 112,979.32 and 46,064.14 is: 63,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.90 : 112,979.32 = 46,064.14 : x
  2. Step 2: Convert to fraction form
    81,874.90/112,979.32 = 46,064.14/x
  3. Step 3: Cross multiply
    81,874.90x = 112,979.32 × 46,064.14
  4. Step 4: Simplify right side
    81,874.90x = 5,204,295,213.58
  5. Step 5: Solve for x
    x = 5,204,295,213.58/81,874.90
  6. Step 6: Final answer
    x = 63,563.99

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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.