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Finding the Fourth Proportional to 74,633.97, 111,989.85 and 33,071.25

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Solution

The fourth proportional to 74,633.97, 111,989.85 and 33,071.25 is: 49,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,633.97 : 111,989.85 = 33,071.25 : x
  2. Step 2: Convert to fraction form
    74,633.97/111,989.85 = 33,071.25/x
  3. Step 3: Cross multiply
    74,633.97x = 111,989.85 × 33,071.25
  4. Step 4: Simplify right side
    74,633.97x = 3,703,644,326.81
  5. Step 5: Solve for x
    x = 3,703,644,326.81/74,633.97
  6. Step 6: Final answer
    x = 49,624.11

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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.