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Finding the Fourth Proportional to 105,840.64, 158,751.30 and 35,720.56

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Solution

The fourth proportional to 105,840.64, 158,751.30 and 35,720.56 is: 53,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,840.64 : 158,751.30 = 35,720.56 : x
  2. Step 2: Convert to fraction form
    105,840.64/158,751.30 = 35,720.56/x
  3. Step 3: Cross multiply
    105,840.64x = 158,751.30 × 35,720.56
  4. Step 4: Simplify right side
    105,840.64x = 5,670,685,336.73
  5. Step 5: Solve for x
    x = 5,670,685,336.73/105,840.64
  6. Step 6: Final answer
    x = 53,577.58

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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.