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Finding the Fourth Proportional to 38,504.27, 53,130.24 and 21,506.42

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Solution

The fourth proportional to 38,504.27, 53,130.24 and 21,506.42 is: 29,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504.27 : 53,130.24 = 21,506.42 : x
  2. Step 2: Convert to fraction form
    38,504.27/53,130.24 = 21,506.42/x
  3. Step 3: Cross multiply
    38,504.27x = 53,130.24 × 21,506.42
  4. Step 4: Simplify right side
    38,504.27x = 1,142,640,990.49
  5. Step 5: Solve for x
    x = 1,142,640,990.49/38,504.27
  6. Step 6: Final answer
    x = 29,675.70

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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.