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Finding the Fourth Proportional to 75,276, 103,884.24 and 41,741.92

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Solution

The fourth proportional to 75,276, 103,884.24 and 41,741.92 is: 57,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,276 : 103,884.24 = 41,741.92 : x
  2. Step 2: Convert to fraction form
    75,276/103,884.24 = 41,741.92/x
  3. Step 3: Cross multiply
    75,276x = 103,884.24 × 41,741.92
  4. Step 4: Simplify right side
    75,276x = 4,336,327,635.34
  5. Step 5: Solve for x
    x = 4,336,327,635.34/75,276
  6. Step 6: Final answer
    x = 57,605.71

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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.