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Finding the Fourth Proportional to 38,852, 53,615.76 and 22,086.08

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Solution

The fourth proportional to 38,852, 53,615.76 and 22,086.08 is: 30,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,852 : 53,615.76 = 22,086.08 : x
  2. Step 2: Convert to fraction form
    38,852/53,615.76 = 22,086.08/x
  3. Step 3: Cross multiply
    38,852x = 53,615.76 × 22,086.08
  4. Step 4: Simplify right side
    38,852x = 1,184,161,964.62
  5. Step 5: Solve for x
    x = 1,184,161,964.62/38,852
  6. Step 6: Final answer
    x = 30,478.79

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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.