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Finding the Fourth Proportional to 73,820, 110,730 and 23,941.82

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Solution

The fourth proportional to 73,820, 110,730 and 23,941.82 is: 35,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,820 : 110,730 = 23,941.82 : x
  2. Step 2: Convert to fraction form
    73,820/110,730 = 23,941.82/x
  3. Step 3: Cross multiply
    73,820x = 110,730 × 23,941.82
  4. Step 4: Simplify right side
    73,820x = 2,651,077,728.60
  5. Step 5: Solve for x
    x = 2,651,077,728.60/73,820
  6. Step 6: Final answer
    x = 35,912.73

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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.