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Finding the Fourth Proportional to 34,206.38, 47,205.60 and 21,460.10

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Solution

The fourth proportional to 34,206.38, 47,205.60 and 21,460.10 is: 29,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.38 : 47,205.60 = 21,460.10 : x
  2. Step 2: Convert to fraction form
    34,206.38/47,205.60 = 21,460.10/x
  3. Step 3: Cross multiply
    34,206.38x = 47,205.60 × 21,460.10
  4. Step 4: Simplify right side
    34,206.38x = 1,013,036,896.56
  5. Step 5: Solve for x
    x = 1,013,036,896.56/34,206.38
  6. Step 6: Final answer
    x = 29,615.44

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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.