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Finding the Fourth Proportional to 105,756.58, 158,630.28 and 35,635.60

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Solution

The fourth proportional to 105,756.58, 158,630.28 and 35,635.60 is: 53,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,756.58 : 158,630.28 = 35,635.60 : x
  2. Step 2: Convert to fraction form
    105,756.58/158,630.28 = 35,635.60/x
  3. Step 3: Cross multiply
    105,756.58x = 158,630.28 × 35,635.60
  4. Step 4: Simplify right side
    105,756.58x = 5,652,885,205.97
  5. Step 5: Solve for x
    x = 5,652,885,205.97/105,756.58
  6. Step 6: Final answer
    x = 53,451.85

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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.