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Finding the Fourth Proportional to 75,953.78, 104,818.34 and 41,964.46

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Solution

The fourth proportional to 75,953.78, 104,818.34 and 41,964.46 is: 57,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,953.78 : 104,818.34 = 41,964.46 : x
  2. Step 2: Convert to fraction form
    75,953.78/104,818.34 = 41,964.46/x
  3. Step 3: Cross multiply
    75,953.78x = 104,818.34 × 41,964.46
  4. Step 4: Simplify right side
    75,953.78x = 4,398,645,232.61
  5. Step 5: Solve for x
    x = 4,398,645,232.61/75,953.78
  6. Step 6: Final answer
    x = 57,912.13

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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.