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Finding the Fourth Proportional to 83,550.96, 115,302.12 and 45,825.12

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Solution

The fourth proportional to 83,550.96, 115,302.12 and 45,825.12 is: 63,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,550.96 : 115,302.12 = 45,825.12 : x
  2. Step 2: Convert to fraction form
    83,550.96/115,302.12 = 45,825.12/x
  3. Step 3: Cross multiply
    83,550.96x = 115,302.12 × 45,825.12
  4. Step 4: Simplify right side
    83,550.96x = 5,283,733,485.25
  5. Step 5: Solve for x
    x = 5,283,733,485.25/83,550.96
  6. Step 6: Final answer
    x = 63,239.65

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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.