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Finding the Fourth Proportional to 64,181.81, 96,231.71 and 30,835.53

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Solution

The fourth proportional to 64,181.81, 96,231.71 and 30,835.53 is: 46,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,181.81 : 96,231.71 = 30,835.53 : x
  2. Step 2: Convert to fraction form
    64,181.81/96,231.71 = 30,835.53/x
  3. Step 3: Cross multiply
    64,181.81x = 96,231.71 × 30,835.53
  4. Step 4: Simplify right side
    64,181.81x = 2,967,355,780.66
  5. Step 5: Solve for x
    x = 2,967,355,780.66/64,181.81
  6. Step 6: Final answer
    x = 46,233.59

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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.