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Finding the Fourth Proportional to 73,184.67, 100,983.69 and 41,341.95

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Solution

The fourth proportional to 73,184.67, 100,983.69 and 41,341.95 is: 57,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,184.67 : 100,983.69 = 41,341.95 : x
  2. Step 2: Convert to fraction form
    73,184.67/100,983.69 = 41,341.95/x
  3. Step 3: Cross multiply
    73,184.67x = 100,983.69 × 41,341.95
  4. Step 4: Simplify right side
    73,184.67x = 4,174,862,662.80
  5. Step 5: Solve for x
    x = 4,174,862,662.80/73,184.67
  6. Step 6: Final answer
    x = 57,045.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.