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Finding the Fourth Proportional to 38,829.46, 53,584.38 and 22,062.46

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Solution

The fourth proportional to 38,829.46, 53,584.38 and 22,062.46 is: 30,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,829.46 : 53,584.38 = 22,062.46 : x
  2. Step 2: Convert to fraction form
    38,829.46/53,584.38 = 22,062.46/x
  3. Step 3: Cross multiply
    38,829.46x = 53,584.38 × 22,062.46
  4. Step 4: Simplify right side
    38,829.46x = 1,182,203,240.37
  5. Step 5: Solve for x
    x = 1,182,203,240.37/38,829.46
  6. Step 6: Final answer
    x = 30,446.04

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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.