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Finding the Fourth Proportional to 123,792.66, 185,661 and 35,022.30

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Solution

The fourth proportional to 123,792.66, 185,661 and 35,022.30 is: 52,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,792.66 : 185,661 = 35,022.30 : x
  2. Step 2: Convert to fraction form
    123,792.66/185,661 = 35,022.30/x
  3. Step 3: Cross multiply
    123,792.66x = 185,661 × 35,022.30
  4. Step 4: Simplify right side
    123,792.66x = 6,502,275,240.30
  5. Step 5: Solve for x
    x = 6,502,275,240.30/123,792.66
  6. Step 6: Final answer
    x = 52,525.53

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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.