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Finding the Fourth Proportional to 81,893.72, 113,012.01 and 46,083.71

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Solution

The fourth proportional to 81,893.72, 113,012.01 and 46,083.71 is: 63,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,893.72 : 113,012.01 = 46,083.71 : x
  2. Step 2: Convert to fraction form
    81,893.72/113,012.01 = 46,083.71/x
  3. Step 3: Cross multiply
    81,893.72x = 113,012.01 × 46,083.71
  4. Step 4: Simplify right side
    81,893.72x = 5,208,012,695.36
  5. Step 5: Solve for x
    x = 5,208,012,695.36/81,893.72
  6. Step 6: Final answer
    x = 63,594.77

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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.