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Finding the Fourth Proportional to 32,940.81, 45,458.34 and 17,833.61

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Solution

The fourth proportional to 32,940.81, 45,458.34 and 17,833.61 is: 24,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940.81 : 45,458.34 = 17,833.61 : x
  2. Step 2: Convert to fraction form
    32,940.81/45,458.34 = 17,833.61/x
  3. Step 3: Cross multiply
    32,940.81x = 45,458.34 × 17,833.61
  4. Step 4: Simplify right side
    32,940.81x = 810,686,079.52
  5. Step 5: Solve for x
    x = 810,686,079.52/32,940.81
  6. Step 6: Final answer
    x = 24,610.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.