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Finding the Fourth Proportional to 34,412.08, 47,466.12 and 20,255.08

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Solution

The fourth proportional to 34,412.08, 47,466.12 and 20,255.08 is: 27,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.08 : 47,466.12 = 20,255.08 : x
  2. Step 2: Convert to fraction form
    34,412.08/47,466.12 = 20,255.08/x
  3. Step 3: Cross multiply
    34,412.08x = 47,466.12 × 20,255.08
  4. Step 4: Simplify right side
    34,412.08x = 961,430,057.89
  5. Step 5: Solve for x
    x = 961,430,057.89/34,412.08
  6. Step 6: Final answer
    x = 27,938.74

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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.