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Finding the Fourth Proportional to 19,301, 28,951.50 and 5,450

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Solution

The fourth proportional to 19,301, 28,951.50 and 5,450 is: 8,175

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,301 : 28,951.50 = 5,450 : x
  2. Step 2: Convert to fraction form
    19,301/28,951.50 = 5,450/x
  3. Step 3: Cross multiply
    19,301x = 28,951.50 × 5,450
  4. Step 4: Simplify right side
    19,301x = 157,785,675
  5. Step 5: Solve for x
    x = 157,785,675/19,301
  6. Step 6: Final answer
    x = 8,175

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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.