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Finding the Fourth Proportional to 38,448.56, 53,057.40 and 21,683.12

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Solution

The fourth proportional to 38,448.56, 53,057.40 and 21,683.12 is: 29,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,448.56 : 53,057.40 = 21,683.12 : x
  2. Step 2: Convert to fraction form
    38,448.56/53,057.40 = 21,683.12/x
  3. Step 3: Cross multiply
    38,448.56x = 53,057.40 × 21,683.12
  4. Step 4: Simplify right side
    38,448.56x = 1,150,449,971.09
  5. Step 5: Solve for x
    x = 1,150,449,971.09/38,448.56
  6. Step 6: Final answer
    x = 29,921.80

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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.