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Finding the Fourth Proportional to 81,837.97, 112,927.20 and 46,027.21

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Solution

The fourth proportional to 81,837.97, 112,927.20 and 46,027.21 is: 63,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,837.97 : 112,927.20 = 46,027.21 : x
  2. Step 2: Convert to fraction form
    81,837.97/112,927.20 = 46,027.21/x
  3. Step 3: Cross multiply
    81,837.97x = 112,927.20 × 46,027.21
  4. Step 4: Simplify right side
    81,837.97x = 5,197,723,949.11
  5. Step 5: Solve for x
    x = 5,197,723,949.11/81,837.97
  6. Step 6: Final answer
    x = 63,512.38

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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.