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Finding the Fourth Proportional to 121,433.86, 182,150.79 and 32,696.33

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Solution

The fourth proportional to 121,433.86, 182,150.79 and 32,696.33 is: 49,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,433.86 : 182,150.79 = 32,696.33 : x
  2. Step 2: Convert to fraction form
    121,433.86/182,150.79 = 32,696.33/x
  3. Step 3: Cross multiply
    121,433.86x = 182,150.79 × 32,696.33
  4. Step 4: Simplify right side
    121,433.86x = 5,955,662,889.11
  5. Step 5: Solve for x
    x = 5,955,662,889.11/121,433.86
  6. Step 6: Final answer
    x = 49,044.50

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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.