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Finding the Fourth Proportional to 38,770.10, 53,502.78 and 22,003.10

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Solution

The fourth proportional to 38,770.10, 53,502.78 and 22,003.10 is: 30,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,770.10 : 53,502.78 = 22,003.10 : x
  2. Step 2: Convert to fraction form
    38,770.10/53,502.78 = 22,003.10/x
  3. Step 3: Cross multiply
    38,770.10x = 53,502.78 × 22,003.10
  4. Step 4: Simplify right side
    38,770.10x = 1,177,227,018.62
  5. Step 5: Solve for x
    x = 1,177,227,018.62/38,770.10
  6. Step 6: Final answer
    x = 30,364.30

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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.