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Finding the Fourth Proportional to 120,735, 181,112.49 and 37,629

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Solution

The fourth proportional to 120,735, 181,112.49 and 37,629 is: 56,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,735 : 181,112.49 = 37,629 : x
  2. Step 2: Convert to fraction form
    120,735/181,112.49 = 37,629/x
  3. Step 3: Cross multiply
    120,735x = 181,112.49 × 37,629
  4. Step 4: Simplify right side
    120,735x = 6,815,081,886.21
  5. Step 5: Solve for x
    x = 6,815,081,886.21/120,735
  6. Step 6: Final answer
    x = 56,446.61

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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.