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Finding the Fourth Proportional to 38,768.10, 53,500.02 and 22,001.10

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Solution

The fourth proportional to 38,768.10, 53,500.02 and 22,001.10 is: 30,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,768.10 : 53,500.02 = 22,001.10 : x
  2. Step 2: Convert to fraction form
    38,768.10/53,500.02 = 22,001.10/x
  3. Step 3: Cross multiply
    38,768.10x = 53,500.02 × 22,001.10
  4. Step 4: Simplify right side
    38,768.10x = 1,177,059,290.02
  5. Step 5: Solve for x
    x = 1,177,059,290.02/38,768.10
  6. Step 6: Final answer
    x = 30,361.54

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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.