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Finding the Fourth Proportional to 38,191.30, 52,698.06 and 21,838.28

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Solution

The fourth proportional to 38,191.30, 52,698.06 and 21,838.28 is: 30,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191.30 : 52,698.06 = 21,838.28 : x
  2. Step 2: Convert to fraction form
    38,191.30/52,698.06 = 21,838.28/x
  3. Step 3: Cross multiply
    38,191.30x = 52,698.06 × 21,838.28
  4. Step 4: Simplify right side
    38,191.30x = 1,150,834,726.25
  5. Step 5: Solve for x
    x = 1,150,834,726.25/38,191.30
  6. Step 6: Final answer
    x = 30,133.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.