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Finding the Fourth Proportional to 38,821.57, 53,570.82 and 21,823.12

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Solution

The fourth proportional to 38,821.57, 53,570.82 and 21,823.12 is: 30,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,821.57 : 53,570.82 = 21,823.12 : x
  2. Step 2: Convert to fraction form
    38,821.57/53,570.82 = 21,823.12/x
  3. Step 3: Cross multiply
    38,821.57x = 53,570.82 × 21,823.12
  4. Step 4: Simplify right side
    38,821.57x = 1,169,082,433.36
  5. Step 5: Solve for x
    x = 1,169,082,433.36/38,821.57
  6. Step 6: Final answer
    x = 30,114.25

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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.