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Finding the Fourth Proportional to 38,265.57, 52,798.30 and 22,342.79

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Solution

The fourth proportional to 38,265.57, 52,798.30 and 22,342.79 is: 30,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,265.57 : 52,798.30 = 22,342.79 : x
  2. Step 2: Convert to fraction form
    38,265.57/52,798.30 = 22,342.79/x
  3. Step 3: Cross multiply
    38,265.57x = 52,798.30 × 22,342.79
  4. Step 4: Simplify right side
    38,265.57x = 1,179,661,405.40
  5. Step 5: Solve for x
    x = 1,179,661,405.40/38,265.57
  6. Step 6: Final answer
    x = 30,828.27

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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.