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Finding the Fourth Proportional to 68,612.80, 102,919.20 and 19,364.80

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Solution

The fourth proportional to 68,612.80, 102,919.20 and 19,364.80 is: 29,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,612.80 : 102,919.20 = 19,364.80 : x
  2. Step 2: Convert to fraction form
    68,612.80/102,919.20 = 19,364.80/x
  3. Step 3: Cross multiply
    68,612.80x = 102,919.20 × 19,364.80
  4. Step 4: Simplify right side
    68,612.80x = 1,993,009,724.16
  5. Step 5: Solve for x
    x = 1,993,009,724.16/68,612.80
  6. Step 6: Final answer
    x = 29,047.20

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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.