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Finding the Fourth Proportional to 34,780.38, 47,996.55 and 19,672.80

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Solution

The fourth proportional to 34,780.38, 47,996.55 and 19,672.80 is: 27,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,780.38 : 47,996.55 = 19,672.80 : x
  2. Step 2: Convert to fraction form
    34,780.38/47,996.55 = 19,672.80/x
  3. Step 3: Cross multiply
    34,780.38x = 47,996.55 × 19,672.80
  4. Step 4: Simplify right side
    34,780.38x = 944,226,528.84
  5. Step 5: Solve for x
    x = 944,226,528.84/34,780.38
  6. Step 6: Final answer
    x = 27,148.25

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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.