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Finding the Fourth Proportional to 76,204.41, 113,843.12 and 49,331.47

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Solution

The fourth proportional to 76,204.41, 113,843.12 and 49,331.47 is: 73,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,204.41 : 113,843.12 = 49,331.47 : x
  2. Step 2: Convert to fraction form
    76,204.41/113,843.12 = 49,331.47/x
  3. Step 3: Cross multiply
    76,204.41x = 113,843.12 × 49,331.47
  4. Step 4: Simplify right side
    76,204.41x = 5,616,048,458.99
  5. Step 5: Solve for x
    x = 5,616,048,458.99/76,204.41
  6. Step 6: Final answer
    x = 73,697.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.