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Finding the Fourth Proportional to 123,843.23, 185,706.29 and 47,977.30

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Solution

The fourth proportional to 123,843.23, 185,706.29 and 47,977.30 is: 71,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,843.23 : 185,706.29 = 47,977.30 : x
  2. Step 2: Convert to fraction form
    123,843.23/185,706.29 = 47,977.30/x
  3. Step 3: Cross multiply
    123,843.23x = 185,706.29 × 47,977.30
  4. Step 4: Simplify right side
    123,843.23x = 8,909,686,387.22
  5. Step 5: Solve for x
    x = 8,909,686,387.22/123,843.23
  6. Step 6: Final answer
    x = 71,943.27

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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.