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Finding the Fourth Proportional to 75,952.68, 104,820.84 and 41,964.15

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Solution

The fourth proportional to 75,952.68, 104,820.84 and 41,964.15 is: 57,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952.68 : 104,820.84 = 41,964.15 : x
  2. Step 2: Convert to fraction form
    75,952.68/104,820.84 = 41,964.15/x
  3. Step 3: Cross multiply
    75,952.68x = 104,820.84 × 41,964.15
  4. Step 4: Simplify right side
    75,952.68x = 4,398,717,452.89
  5. Step 5: Solve for x
    x = 4,398,717,452.89/75,952.68
  6. Step 6: Final answer
    x = 57,913.92

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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.