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Finding the Fourth Proportional to 75,954.56, 114,003.34 and 38,541.49

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Solution

The fourth proportional to 75,954.56, 114,003.34 and 38,541.49 is: 57,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,954.56 : 114,003.34 = 38,541.49 : x
  2. Step 2: Convert to fraction form
    75,954.56/114,003.34 = 38,541.49/x
  3. Step 3: Cross multiply
    75,954.56x = 114,003.34 × 38,541.49
  4. Step 4: Simplify right side
    75,954.56x = 4,393,858,207.21
  5. Step 5: Solve for x
    x = 4,393,858,207.21/75,954.56
  6. Step 6: Final answer
    x = 57,848.51

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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.