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Finding the Fourth Proportional to 123,510.44, 185,265.12 and 30,017

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Solution

The fourth proportional to 123,510.44, 185,265.12 and 30,017 is: 45,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,510.44 : 185,265.12 = 30,017 : x
  2. Step 2: Convert to fraction form
    123,510.44/185,265.12 = 30,017/x
  3. Step 3: Cross multiply
    123,510.44x = 185,265.12 × 30,017
  4. Step 4: Simplify right side
    123,510.44x = 5,561,103,107.04
  5. Step 5: Solve for x
    x = 5,561,103,107.04/123,510.44
  6. Step 6: Final answer
    x = 45,025.37

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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.