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Finding the Fourth Proportional to 36,677, 55,015.50 and 20,261

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Solution

The fourth proportional to 36,677, 55,015.50 and 20,261 is: 30,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,677 : 55,015.50 = 20,261 : x
  2. Step 2: Convert to fraction form
    36,677/55,015.50 = 20,261/x
  3. Step 3: Cross multiply
    36,677x = 55,015.50 × 20,261
  4. Step 4: Simplify right side
    36,677x = 1,114,669,045.50
  5. Step 5: Solve for x
    x = 1,114,669,045.50/36,677
  6. Step 6: Final answer
    x = 30,391.50

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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.