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Finding the Fourth Proportional to 75,506.68, 104,200.50 and 41,516.56

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Solution

The fourth proportional to 75,506.68, 104,200.50 and 41,516.56 is: 57,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,506.68 : 104,200.50 = 41,516.56 : x
  2. Step 2: Convert to fraction form
    75,506.68/104,200.50 = 41,516.56/x
  3. Step 3: Cross multiply
    75,506.68x = 104,200.50 × 41,516.56
  4. Step 4: Simplify right side
    75,506.68x = 4,326,046,310.28
  5. Step 5: Solve for x
    x = 4,326,046,310.28/75,506.68
  6. Step 6: Final answer
    x = 57,293.56

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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.