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Finding the Fourth Proportional to 30,909.34, 42,639.12 and 19,559.68

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Solution

The fourth proportional to 30,909.34, 42,639.12 and 19,559.68 is: 26,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.34 : 42,639.12 = 19,559.68 : x
  2. Step 2: Convert to fraction form
    30,909.34/42,639.12 = 19,559.68/x
  3. Step 3: Cross multiply
    30,909.34x = 42,639.12 × 19,559.68
  4. Step 4: Simplify right side
    30,909.34x = 834,007,542.68
  5. Step 5: Solve for x
    x = 834,007,542.68/30,909.34
  6. Step 6: Final answer
    x = 26,982.38

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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.