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Finding the Fourth Proportional to 30,503.48, 42,082.38 and 19,169.34

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Solution

The fourth proportional to 30,503.48, 42,082.38 and 19,169.34 is: 26,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,503.48 : 42,082.38 = 19,169.34 : x
  2. Step 2: Convert to fraction form
    30,503.48/42,082.38 = 19,169.34/x
  3. Step 3: Cross multiply
    30,503.48x = 42,082.38 × 19,169.34
  4. Step 4: Simplify right side
    30,503.48x = 806,691,450.23
  5. Step 5: Solve for x
    x = 806,691,450.23/30,503.48
  6. Step 6: Final answer
    x = 26,445.89

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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.