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Finding the Fourth Proportional to 38,422.56, 53,022.48 and 21,655.68

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Solution

The fourth proportional to 38,422.56, 53,022.48 and 21,655.68 is: 29,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.56 : 53,022.48 = 21,655.68 : x
  2. Step 2: Convert to fraction form
    38,422.56/53,022.48 = 21,655.68/x
  3. Step 3: Cross multiply
    38,422.56x = 53,022.48 × 21,655.68
  4. Step 4: Simplify right side
    38,422.56x = 1,148,237,859.69
  5. Step 5: Solve for x
    x = 1,148,237,859.69/38,422.56
  6. Step 6: Final answer
    x = 29,884.47

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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.