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Finding the Fourth Proportional to 75,509.66, 104,200.53 and 41,516.12

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Solution

The fourth proportional to 75,509.66, 104,200.53 and 41,516.12 is: 57,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,509.66 : 104,200.53 = 41,516.12 : x
  2. Step 2: Convert to fraction form
    75,509.66/104,200.53 = 41,516.12/x
  3. Step 3: Cross multiply
    75,509.66x = 104,200.53 × 41,516.12
  4. Step 4: Simplify right side
    75,509.66x = 4,326,001,707.54
  5. Step 5: Solve for x
    x = 4,326,001,707.54/75,509.66
  6. Step 6: Final answer
    x = 57,290.71

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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.