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Finding the Fourth Proportional to 73,783.98, 110,690.19 and 23,876.46

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Solution

The fourth proportional to 73,783.98, 110,690.19 and 23,876.46 is: 35,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,783.98 : 110,690.19 = 23,876.46 : x
  2. Step 2: Convert to fraction form
    73,783.98/110,690.19 = 23,876.46/x
  3. Step 3: Cross multiply
    73,783.98x = 110,690.19 × 23,876.46
  4. Step 4: Simplify right side
    73,783.98x = 2,642,889,893.93
  5. Step 5: Solve for x
    x = 2,642,889,893.93/73,783.98
  6. Step 6: Final answer
    x = 35,819.29

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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.