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Finding the Fourth Proportional to 49,852.56, 74,750.82 and 16,554.80

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Solution

The fourth proportional to 49,852.56, 74,750.82 and 16,554.80 is: 24,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,852.56 : 74,750.82 = 16,554.80 : x
  2. Step 2: Convert to fraction form
    49,852.56/74,750.82 = 16,554.80/x
  3. Step 3: Cross multiply
    49,852.56x = 74,750.82 × 16,554.80
  4. Step 4: Simplify right side
    49,852.56x = 1,237,484,874.94
  5. Step 5: Solve for x
    x = 1,237,484,874.94/49,852.56
  6. Step 6: Final answer
    x = 24,822.90

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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.