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Finding the Fourth Proportional to 38,841, 53,600.64 and 22,074

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Solution

The fourth proportional to 38,841, 53,600.64 and 22,074 is: 30,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,841 : 53,600.64 = 22,074 : x
  2. Step 2: Convert to fraction form
    38,841/53,600.64 = 22,074/x
  3. Step 3: Cross multiply
    38,841x = 53,600.64 × 22,074
  4. Step 4: Simplify right side
    38,841x = 1,183,180,527.36
  5. Step 5: Solve for x
    x = 1,183,180,527.36/38,841
  6. Step 6: Final answer
    x = 30,462.15

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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.