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Finding the Fourth Proportional to 61,780.50, 92,671.56 and 20,227.50

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Solution

The fourth proportional to 61,780.50, 92,671.56 and 20,227.50 is: 30,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,780.50 : 92,671.56 = 20,227.50 : x
  2. Step 2: Convert to fraction form
    61,780.50/92,671.56 = 20,227.50/x
  3. Step 3: Cross multiply
    61,780.50x = 92,671.56 × 20,227.50
  4. Step 4: Simplify right side
    61,780.50x = 1,874,513,979.90
  5. Step 5: Solve for x
    x = 1,874,513,979.90/61,780.50
  6. Step 6: Final answer
    x = 30,341.52

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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.