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Finding the Fourth Proportional to 73,969.76, 111,000 and 27,223.04

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Solution

The fourth proportional to 73,969.76, 111,000 and 27,223.04 is: 40,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,969.76 : 111,000 = 27,223.04 : x
  2. Step 2: Convert to fraction form
    73,969.76/111,000 = 27,223.04/x
  3. Step 3: Cross multiply
    73,969.76x = 111,000 × 27,223.04
  4. Step 4: Simplify right side
    73,969.76x = 3,021,757,440
  5. Step 5: Solve for x
    x = 3,021,757,440/73,969.76
  6. Step 6: Final answer
    x = 40,851.25

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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.