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Finding the Fourth Proportional to 38,580.44, 53,242.52 and 22,664.75

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Solution

The fourth proportional to 38,580.44, 53,242.52 and 22,664.75 is: 31,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580.44 : 53,242.52 = 22,664.75 : x
  2. Step 2: Convert to fraction form
    38,580.44/53,242.52 = 22,664.75/x
  3. Step 3: Cross multiply
    38,580.44x = 53,242.52 × 22,664.75
  4. Step 4: Simplify right side
    38,580.44x = 1,206,728,025.63
  5. Step 5: Solve for x
    x = 1,206,728,025.63/38,580.44
  6. Step 6: Final answer
    x = 31,278.24

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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.