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Finding the Fourth Proportional to 74,564.86, 111,850.80 and 21,974.80

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Solution

The fourth proportional to 74,564.86, 111,850.80 and 21,974.80 is: 32,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,564.86 : 111,850.80 = 21,974.80 : x
  2. Step 2: Convert to fraction form
    74,564.86/111,850.80 = 21,974.80/x
  3. Step 3: Cross multiply
    74,564.86x = 111,850.80 × 21,974.80
  4. Step 4: Simplify right side
    74,564.86x = 2,457,898,959.84
  5. Step 5: Solve for x
    x = 2,457,898,959.84/74,564.86
  6. Step 6: Final answer
    x = 32,963.23

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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.