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Finding the Fourth Proportional to 121,874.49, 182,813.80 and 33,125.82

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Solution

The fourth proportional to 121,874.49, 182,813.80 and 33,125.82 is: 49,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,874.49 : 182,813.80 = 33,125.82 : x
  2. Step 2: Convert to fraction form
    121,874.49/182,813.80 = 33,125.82/x
  3. Step 3: Cross multiply
    121,874.49x = 182,813.80 × 33,125.82
  4. Step 4: Simplify right side
    121,874.49x = 6,055,857,032.32
  5. Step 5: Solve for x
    x = 6,055,857,032.32/121,874.49
  6. Step 6: Final answer
    x = 49,689.29

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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.