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Finding the Fourth Proportional to 74,574.80, 111,862.20 and 27,825.20

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Solution

The fourth proportional to 74,574.80, 111,862.20 and 27,825.20 is: 41,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,574.80 : 111,862.20 = 27,825.20 : x
  2. Step 2: Convert to fraction form
    74,574.80/111,862.20 = 27,825.20/x
  3. Step 3: Cross multiply
    74,574.80x = 111,862.20 × 27,825.20
  4. Step 4: Simplify right side
    74,574.80x = 3,112,588,087.44
  5. Step 5: Solve for x
    x = 3,112,588,087.44/74,574.80
  6. Step 6: Final answer
    x = 41,737.80

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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.