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Finding the Fourth Proportional to 75,940.43, 104,803.54 and 43,684.93

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Solution

The fourth proportional to 75,940.43, 104,803.54 and 43,684.93 is: 60,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,940.43 : 104,803.54 = 43,684.93 : x
  2. Step 2: Convert to fraction form
    75,940.43/104,803.54 = 43,684.93/x
  3. Step 3: Cross multiply
    75,940.43x = 104,803.54 × 43,684.93
  4. Step 4: Simplify right side
    75,940.43x = 4,578,335,308.65
  5. Step 5: Solve for x
    x = 4,578,335,308.65/75,940.43
  6. Step 6: Final answer
    x = 60,288.51

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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.