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Finding the Fourth Proportional to 50,591.69, 75,880.40 and 31,814.47

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Solution

The fourth proportional to 50,591.69, 75,880.40 and 31,814.47 is: 47,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,591.69 : 75,880.40 = 31,814.47 : x
  2. Step 2: Convert to fraction form
    50,591.69/75,880.40 = 31,814.47/x
  3. Step 3: Cross multiply
    50,591.69x = 75,880.40 × 31,814.47
  4. Step 4: Simplify right side
    50,591.69x = 2,414,094,645.17
  5. Step 5: Solve for x
    x = 2,414,094,645.17/50,591.69
  6. Step 6: Final answer
    x = 47,717.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.