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Finding the Fourth Proportional to 73,538.16, 110,305 and 43,756.62

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Solution

The fourth proportional to 73,538.16, 110,305 and 43,756.62 is: 65,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,538.16 : 110,305 = 43,756.62 : x
  2. Step 2: Convert to fraction form
    73,538.16/110,305 = 43,756.62/x
  3. Step 3: Cross multiply
    73,538.16x = 110,305 × 43,756.62
  4. Step 4: Simplify right side
    73,538.16x = 4,826,573,969.10
  5. Step 5: Solve for x
    x = 4,826,573,969.10/73,538.16
  6. Step 6: Final answer
    x = 65,633.60

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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.