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Finding the Fourth Proportional to 68,164.60, 102,246.90 and 47,169.40

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Solution

The fourth proportional to 68,164.60, 102,246.90 and 47,169.40 is: 70,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164.60 : 102,246.90 = 47,169.40 : x
  2. Step 2: Convert to fraction form
    68,164.60/102,246.90 = 47,169.40/x
  3. Step 3: Cross multiply
    68,164.60x = 102,246.90 × 47,169.40
  4. Step 4: Simplify right side
    68,164.60x = 4,822,924,924.86
  5. Step 5: Solve for x
    x = 4,822,924,924.86/68,164.60
  6. Step 6: Final answer
    x = 70,754.10

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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.