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Finding the Fourth Proportional to 83,455.26, 115,168.26 and 45,730.32

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Solution

The fourth proportional to 83,455.26, 115,168.26 and 45,730.32 is: 63,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,455.26 : 115,168.26 = 45,730.32 : x
  2. Step 2: Convert to fraction form
    83,455.26/115,168.26 = 45,730.32/x
  3. Step 3: Cross multiply
    83,455.26x = 115,168.26 × 45,730.32
  4. Step 4: Simplify right side
    83,455.26x = 5,266,681,383.64
  5. Step 5: Solve for x
    x = 5,266,681,383.64/83,455.26
  6. Step 6: Final answer
    x = 63,107.84

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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.