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Finding the Fourth Proportional to 29,924.32, 41,276.64 and 21,409.60

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Solution

The fourth proportional to 29,924.32, 41,276.64 and 21,409.60 is: 29,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,924.32 : 41,276.64 = 21,409.60 : x
  2. Step 2: Convert to fraction form
    29,924.32/41,276.64 = 21,409.60/x
  3. Step 3: Cross multiply
    29,924.32x = 41,276.64 × 21,409.60
  4. Step 4: Simplify right side
    29,924.32x = 883,716,351.74
  5. Step 5: Solve for x
    x = 883,716,351.74/29,924.32
  6. Step 6: Final answer
    x = 29,531.71

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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.