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Finding the Fourth Proportional to 34,196.80, 51,208.80 and 22,446.40

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Solution

The fourth proportional to 34,196.80, 51,208.80 and 22,446.40 is: 33,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.80 : 51,208.80 = 22,446.40 : x
  2. Step 2: Convert to fraction form
    34,196.80/51,208.80 = 22,446.40/x
  3. Step 3: Cross multiply
    34,196.80x = 51,208.80 × 22,446.40
  4. Step 4: Simplify right side
    34,196.80x = 1,149,453,208.32
  5. Step 5: Solve for x
    x = 1,149,453,208.32/34,196.80
  6. Step 6: Final answer
    x = 33,612.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.