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Finding the Fourth Proportional to 38,112, 52,594.56 and 23,208

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Solution

The fourth proportional to 38,112, 52,594.56 and 23,208 is: 32,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,112 : 52,594.56 = 23,208 : x
  2. Step 2: Convert to fraction form
    38,112/52,594.56 = 23,208/x
  3. Step 3: Cross multiply
    38,112x = 52,594.56 × 23,208
  4. Step 4: Simplify right side
    38,112x = 1,220,614,548.48
  5. Step 5: Solve for x
    x = 1,220,614,548.48/38,112
  6. Step 6: Final answer
    x = 32,027.04

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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.