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Finding the Fourth Proportional to 81,893.77, 113,013.04 and 46,084.38

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Solution

The fourth proportional to 81,893.77, 113,013.04 and 46,084.38 is: 63,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,893.77 : 113,013.04 = 46,084.38 : x
  2. Step 2: Convert to fraction form
    81,893.77/113,013.04 = 46,084.38/x
  3. Step 3: Cross multiply
    81,893.77x = 113,013.04 × 46,084.38
  4. Step 4: Simplify right side
    81,893.77x = 5,208,135,427.71
  5. Step 5: Solve for x
    x = 5,208,135,427.71/81,893.77
  6. Step 6: Final answer
    x = 63,596.24

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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.