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Finding the Fourth Proportional to 30,738.29, 42,142.35 and 30,177.87

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Solution

The fourth proportional to 30,738.29, 42,142.35 and 30,177.87 is: 41,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738.29 : 42,142.35 = 30,177.87 : x
  2. Step 2: Convert to fraction form
    30,738.29/42,142.35 = 30,177.87/x
  3. Step 3: Cross multiply
    30,738.29x = 42,142.35 × 30,177.87
  4. Step 4: Simplify right side
    30,738.29x = 1,271,766,230.05
  5. Step 5: Solve for x
    x = 1,271,766,230.05/30,738.29
  6. Step 6: Final answer
    x = 41,374.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.