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Finding the Fourth Proportional to 73,381.86, 110,072.07 and 23,461.38

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Solution

The fourth proportional to 73,381.86, 110,072.07 and 23,461.38 is: 35,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,381.86 : 110,072.07 = 23,461.38 : x
  2. Step 2: Convert to fraction form
    73,381.86/110,072.07 = 23,461.38/x
  3. Step 3: Cross multiply
    73,381.86x = 110,072.07 × 23,461.38
  4. Step 4: Simplify right side
    73,381.86x = 2,582,442,661.66
  5. Step 5: Solve for x
    x = 2,582,442,661.66/73,381.86
  6. Step 6: Final answer
    x = 35,191.84

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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.