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Finding the Fourth Proportional to 64,181.82, 96,231.70 and 30,835.52

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Solution

The fourth proportional to 64,181.82, 96,231.70 and 30,835.52 is: 46,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,181.82 : 96,231.70 = 30,835.52 : x
  2. Step 2: Convert to fraction form
    64,181.82/96,231.70 = 30,835.52/x
  3. Step 3: Cross multiply
    64,181.82x = 96,231.70 × 30,835.52
  4. Step 4: Simplify right side
    64,181.82x = 2,967,354,509.98
  5. Step 5: Solve for x
    x = 2,967,354,509.98/64,181.82
  6. Step 6: Final answer
    x = 46,233.57

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Why These Related Problems?

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