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Finding the Fourth Proportional to 30,264.24, 41,728.38 and 19,650

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Solution

The fourth proportional to 30,264.24, 41,728.38 and 19,650 is: 27,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264.24 : 41,728.38 = 19,650 : x
  2. Step 2: Convert to fraction form
    30,264.24/41,728.38 = 19,650/x
  3. Step 3: Cross multiply
    30,264.24x = 41,728.38 × 19,650
  4. Step 4: Simplify right side
    30,264.24x = 819,962,667
  5. Step 5: Solve for x
    x = 819,962,667/30,264.24
  6. Step 6: Final answer
    x = 27,093.45

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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.