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Finding the Fourth Proportional to 38,409.42, 53,005.25 and 21,414.75

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Solution

The fourth proportional to 38,409.42, 53,005.25 and 21,414.75 is: 29,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409.42 : 53,005.25 = 21,414.75 : x
  2. Step 2: Convert to fraction form
    38,409.42/53,005.25 = 21,414.75/x
  3. Step 3: Cross multiply
    38,409.42x = 53,005.25 × 21,414.75
  4. Step 4: Simplify right side
    38,409.42x = 1,135,094,070.36
  5. Step 5: Solve for x
    x = 1,135,094,070.36/38,409.42
  6. Step 6: Final answer
    x = 29,552.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.