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Finding the Fourth Proportional to 75,662.44, 113,579.78 and 38,264.74

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Solution

The fourth proportional to 75,662.44, 113,579.78 and 38,264.74 is: 57,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,662.44 : 113,579.78 = 38,264.74 : x
  2. Step 2: Convert to fraction form
    75,662.44/113,579.78 = 38,264.74/x
  3. Step 3: Cross multiply
    75,662.44x = 113,579.78 × 38,264.74
  4. Step 4: Simplify right side
    75,662.44x = 4,346,100,750.96
  5. Step 5: Solve for x
    x = 4,346,100,750.96/75,662.44
  6. Step 6: Final answer
    x = 57,440.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.