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Finding the Fourth Proportional to 70,981.60, 106,250.91 and 52,282.75

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Solution

The fourth proportional to 70,981.60, 106,250.91 and 52,282.75 is: 78,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,981.60 : 106,250.91 = 52,282.75 : x
  2. Step 2: Convert to fraction form
    70,981.60/106,250.91 = 52,282.75/x
  3. Step 3: Cross multiply
    70,981.60x = 106,250.91 × 52,282.75
  4. Step 4: Simplify right side
    70,981.60x = 5,555,089,764.80
  5. Step 5: Solve for x
    x = 5,555,089,764.80/70,981.60
  6. Step 6: Final answer
    x = 78,260.98

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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.