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Finding the Fourth Proportional to 75,954.92, 114,003.87 and 38,541.84

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Solution

The fourth proportional to 75,954.92, 114,003.87 and 38,541.84 is: 57,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,954.92 : 114,003.87 = 38,541.84 : x
  2. Step 2: Convert to fraction form
    75,954.92/114,003.87 = 38,541.84/x
  3. Step 3: Cross multiply
    75,954.92x = 114,003.87 × 38,541.84
  4. Step 4: Simplify right side
    75,954.92x = 4,393,918,916.92
  5. Step 5: Solve for x
    x = 4,393,918,916.92/75,954.92
  6. Step 6: Final answer
    x = 57,849.04

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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.