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Finding the Fourth Proportional to 83,896.39, 115,776.98 and 46,170.64

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Solution

The fourth proportional to 83,896.39, 115,776.98 and 46,170.64 is: 63,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,896.39 : 115,776.98 = 46,170.64 : x
  2. Step 2: Convert to fraction form
    83,896.39/115,776.98 = 46,170.64/x
  3. Step 3: Cross multiply
    83,896.39x = 115,776.98 × 46,170.64
  4. Step 4: Simplify right side
    83,896.39x = 5,345,497,350.88
  5. Step 5: Solve for x
    x = 5,345,497,350.88/83,896.39
  6. Step 6: Final answer
    x = 63,715.46

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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.