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Finding the Fourth Proportional to 38,388.60, 52,978.32 and 22,474.26

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Solution

The fourth proportional to 38,388.60, 52,978.32 and 22,474.26 is: 31,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,388.60 : 52,978.32 = 22,474.26 : x
  2. Step 2: Convert to fraction form
    38,388.60/52,978.32 = 22,474.26/x
  3. Step 3: Cross multiply
    38,388.60x = 52,978.32 × 22,474.26
  4. Step 4: Simplify right side
    38,388.60x = 1,190,648,538.04
  5. Step 5: Solve for x
    x = 1,190,648,538.04/38,388.60
  6. Step 6: Final answer
    x = 31,015.68

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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.