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Finding the Fourth Proportional to 96,846.25, 145,186.17 and 33,658.16

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Solution

The fourth proportional to 96,846.25, 145,186.17 and 33,658.16 is: 50,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,846.25 : 145,186.17 = 33,658.16 : x
  2. Step 2: Convert to fraction form
    96,846.25/145,186.17 = 33,658.16/x
  3. Step 3: Cross multiply
    96,846.25x = 145,186.17 × 33,658.16
  4. Step 4: Simplify right side
    96,846.25x = 4,886,698,892.54
  5. Step 5: Solve for x
    x = 4,886,698,892.54/96,846.25
  6. Step 6: Final answer
    x = 50,458.32

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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.