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Finding the Fourth Proportional to 61,780.75, 92,671.94 and 20,227.75

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Solution

The fourth proportional to 61,780.75, 92,671.94 and 20,227.75 is: 30,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,780.75 : 92,671.94 = 20,227.75 : x
  2. Step 2: Convert to fraction form
    61,780.75/92,671.94 = 20,227.75/x
  3. Step 3: Cross multiply
    61,780.75x = 92,671.94 × 20,227.75
  4. Step 4: Simplify right side
    61,780.75x = 1,874,544,834.34
  5. Step 5: Solve for x
    x = 1,874,544,834.34/61,780.75
  6. Step 6: Final answer
    x = 30,341.89

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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.