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Finding the Fourth Proportional to 38,268.57, 52,802.43 and 22,345.80

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Solution

The fourth proportional to 38,268.57, 52,802.43 and 22,345.80 is: 30,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,268.57 : 52,802.43 = 22,345.80 : x
  2. Step 2: Convert to fraction form
    38,268.57/52,802.43 = 22,345.80/x
  3. Step 3: Cross multiply
    38,268.57x = 52,802.43 × 22,345.80
  4. Step 4: Simplify right side
    38,268.57x = 1,179,912,540.29
  5. Step 5: Solve for x
    x = 1,179,912,540.29/38,268.57
  6. Step 6: Final answer
    x = 30,832.42

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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.