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Finding the Fourth Proportional to 75,993.28, 104,872.80 and 42,461.44

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Solution

The fourth proportional to 75,993.28, 104,872.80 and 42,461.44 is: 58,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,993.28 : 104,872.80 = 42,461.44 : x
  2. Step 2: Convert to fraction form
    75,993.28/104,872.80 = 42,461.44/x
  3. Step 3: Cross multiply
    75,993.28x = 104,872.80 × 42,461.44
  4. Step 4: Simplify right side
    75,993.28x = 4,453,050,104.83
  5. Step 5: Solve for x
    x = 4,453,050,104.83/75,993.28
  6. Step 6: Final answer
    x = 58,597.95

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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.