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Finding the Fourth Proportional to 34,355.40, 47,408.24 and 20,205.52

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Solution

The fourth proportional to 34,355.40, 47,408.24 and 20,205.52 is: 27,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,355.40 : 47,408.24 = 20,205.52 : x
  2. Step 2: Convert to fraction form
    34,355.40/47,408.24 = 20,205.52/x
  3. Step 3: Cross multiply
    34,355.40x = 47,408.24 × 20,205.52
  4. Step 4: Simplify right side
    34,355.40x = 957,908,141.48
  5. Step 5: Solve for x
    x = 957,908,141.48/34,355.40
  6. Step 6: Final answer
    x = 27,882.32

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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.