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Finding the Fourth Proportional to 79,294.28, 109,418.45 and 47,462.49

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Solution

The fourth proportional to 79,294.28, 109,418.45 and 47,462.49 is: 65,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,294.28 : 109,418.45 = 47,462.49 : x
  2. Step 2: Convert to fraction form
    79,294.28/109,418.45 = 47,462.49/x
  3. Step 3: Cross multiply
    79,294.28x = 109,418.45 × 47,462.49
  4. Step 4: Simplify right side
    79,294.28x = 5,193,271,851.63
  5. Step 5: Solve for x
    x = 5,193,271,851.63/79,294.28
  6. Step 6: Final answer
    x = 65,493.65

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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.