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Finding the Fourth Proportional to 83,783.36, 115,618.10 and 46,057.34

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Solution

The fourth proportional to 83,783.36, 115,618.10 and 46,057.34 is: 63,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,783.36 : 115,618.10 = 46,057.34 : x
  2. Step 2: Convert to fraction form
    83,783.36/115,618.10 = 46,057.34/x
  3. Step 3: Cross multiply
    83,783.36x = 115,618.10 × 46,057.34
  4. Step 4: Simplify right side
    83,783.36x = 5,325,062,141.85
  5. Step 5: Solve for x
    x = 5,325,062,141.85/83,783.36
  6. Step 6: Final answer
    x = 63,557.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.