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Finding the Fourth Proportional to 68,276.40, 102,414.60 and 55,834.80

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Solution

The fourth proportional to 68,276.40, 102,414.60 and 55,834.80 is: 83,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,276.40 : 102,414.60 = 55,834.80 : x
  2. Step 2: Convert to fraction form
    68,276.40/102,414.60 = 55,834.80/x
  3. Step 3: Cross multiply
    68,276.40x = 102,414.60 × 55,834.80
  4. Step 4: Simplify right side
    68,276.40x = 5,718,298,708.08
  5. Step 5: Solve for x
    x = 5,718,298,708.08/68,276.40
  6. Step 6: Final answer
    x = 83,752.20

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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.