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Finding the Fourth Proportional to 38,962, 53,767.56 and 22,195

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Solution

The fourth proportional to 38,962, 53,767.56 and 22,195 is: 30,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,962 : 53,767.56 = 22,195 : x
  2. Step 2: Convert to fraction form
    38,962/53,767.56 = 22,195/x
  3. Step 3: Cross multiply
    38,962x = 53,767.56 × 22,195
  4. Step 4: Simplify right side
    38,962x = 1,193,370,994.20
  5. Step 5: Solve for x
    x = 1,193,370,994.20/38,962
  6. Step 6: Final answer
    x = 30,629.10

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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.