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Finding the Fourth Proportional to 70,884.52, 106,180.98 and 51,202.60

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Solution

The fourth proportional to 70,884.52, 106,180.98 and 51,202.60 is: 76,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,884.52 : 106,180.98 = 51,202.60 : x
  2. Step 2: Convert to fraction form
    70,884.52/106,180.98 = 51,202.60/x
  3. Step 3: Cross multiply
    70,884.52x = 106,180.98 × 51,202.60
  4. Step 4: Simplify right side
    70,884.52x = 5,436,742,246.55
  5. Step 5: Solve for x
    x = 5,436,742,246.55/70,884.52
  6. Step 6: Final answer
    x = 76,698.58

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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.