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Finding the Fourth Proportional to 73,820.30, 110,746.65 and 23,891.90

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Solution

The fourth proportional to 73,820.30, 110,746.65 and 23,891.90 is: 35,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,820.30 : 110,746.65 = 23,891.90 : x
  2. Step 2: Convert to fraction form
    73,820.30/110,746.65 = 23,891.90/x
  3. Step 3: Cross multiply
    73,820.30x = 110,746.65 × 23,891.90
  4. Step 4: Simplify right side
    73,820.30x = 2,645,947,887.14
  5. Step 5: Solve for x
    x = 2,645,947,887.14/73,820.30
  6. Step 6: Final answer
    x = 35,843.09

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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.