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Finding the Fourth Proportional to 38,908.02, 53,683.56 and 21,909

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Solution

The fourth proportional to 38,908.02, 53,683.56 and 21,909 is: 30,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,908.02 : 53,683.56 = 21,909 : x
  2. Step 2: Convert to fraction form
    38,908.02/53,683.56 = 21,909/x
  3. Step 3: Cross multiply
    38,908.02x = 53,683.56 × 21,909
  4. Step 4: Simplify right side
    38,908.02x = 1,176,153,116.04
  5. Step 5: Solve for x
    x = 1,176,153,116.04/38,908.02
  6. Step 6: Final answer
    x = 30,229.07

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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.