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Finding the Fourth Proportional to 70,206.35, 105,310.88 and 32,756.25

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Solution

The fourth proportional to 70,206.35, 105,310.88 and 32,756.25 is: 49,135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,206.35 : 105,310.88 = 32,756.25 : x
  2. Step 2: Convert to fraction form
    70,206.35/105,310.88 = 32,756.25/x
  3. Step 3: Cross multiply
    70,206.35x = 105,310.88 × 32,756.25
  4. Step 4: Simplify right side
    70,206.35x = 3,449,589,458.85
  5. Step 5: Solve for x
    x = 3,449,589,458.85/70,206.35
  6. Step 6: Final answer
    x = 49,135.01

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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.