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Finding the Fourth Proportional to 75,573.56, 104,291.62 and 42,039.56

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Solution

The fourth proportional to 75,573.56, 104,291.62 and 42,039.56 is: 58,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,573.56 : 104,291.62 = 42,039.56 : x
  2. Step 2: Convert to fraction form
    75,573.56/104,291.62 = 42,039.56/x
  3. Step 3: Cross multiply
    75,573.56x = 104,291.62 × 42,039.56
  4. Step 4: Simplify right side
    75,573.56x = 4,384,373,972.12
  5. Step 5: Solve for x
    x = 4,384,373,972.12/75,573.56
  6. Step 6: Final answer
    x = 58,014.65

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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.