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Finding the Fourth Proportional to 73,773.16, 110,627.10 and 21,170.44

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Solution

The fourth proportional to 73,773.16, 110,627.10 and 21,170.44 is: 31,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,773.16 : 110,627.10 = 21,170.44 : x
  2. Step 2: Convert to fraction form
    73,773.16/110,627.10 = 21,170.44/x
  3. Step 3: Cross multiply
    73,773.16x = 110,627.10 × 21,170.44
  4. Step 4: Simplify right side
    73,773.16x = 2,342,024,382.92
  5. Step 5: Solve for x
    x = 2,342,024,382.92/73,773.16
  6. Step 6: Final answer
    x = 31,746.29

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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.