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Finding the Fourth Proportional to 73,201.26, 109,847.01 and 28,820.46

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Solution

The fourth proportional to 73,201.26, 109,847.01 and 28,820.46 is: 43,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,201.26 : 109,847.01 = 28,820.46 : x
  2. Step 2: Convert to fraction form
    73,201.26/109,847.01 = 28,820.46/x
  3. Step 3: Cross multiply
    73,201.26x = 109,847.01 × 28,820.46
  4. Step 4: Simplify right side
    73,201.26x = 3,165,841,357.82
  5. Step 5: Solve for x
    x = 3,165,841,357.82/73,201.26
  6. Step 6: Final answer
    x = 43,248.45

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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.