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Finding the Fourth Proportional to 30,868.56, 42,591.24 and 18,291.12

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Solution

The fourth proportional to 30,868.56, 42,591.24 and 18,291.12 is: 25,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868.56 : 42,591.24 = 18,291.12 : x
  2. Step 2: Convert to fraction form
    30,868.56/42,591.24 = 18,291.12/x
  3. Step 3: Cross multiply
    30,868.56x = 42,591.24 × 18,291.12
  4. Step 4: Simplify right side
    30,868.56x = 779,041,481.79
  5. Step 5: Solve for x
    x = 779,041,481.79/30,868.56
  6. Step 6: Final answer
    x = 25,237.38

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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.