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Finding the Fourth Proportional to 68,107.24, 102,139.15 and 22,506.45

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Solution

The fourth proportional to 68,107.24, 102,139.15 and 22,506.45 is: 33,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,107.24 : 102,139.15 = 22,506.45 : x
  2. Step 2: Convert to fraction form
    68,107.24/102,139.15 = 22,506.45/x
  3. Step 3: Cross multiply
    68,107.24x = 102,139.15 × 22,506.45
  4. Step 4: Simplify right side
    68,107.24x = 2,298,789,573.22
  5. Step 5: Solve for x
    x = 2,298,789,573.22/68,107.24
  6. Step 6: Final answer
    x = 33,752.50

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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.