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Finding the Fourth Proportional to 38,821.27, 53,572.11 and 21,826.23

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Solution

The fourth proportional to 38,821.27, 53,572.11 and 21,826.23 is: 30,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,821.27 : 53,572.11 = 21,826.23 : x
  2. Step 2: Convert to fraction form
    38,821.27/53,572.11 = 21,826.23/x
  3. Step 3: Cross multiply
    38,821.27x = 53,572.11 × 21,826.23
  4. Step 4: Simplify right side
    38,821.27x = 1,169,277,261.41
  5. Step 5: Solve for x
    x = 1,169,277,261.41/38,821.27
  6. Step 6: Final answer
    x = 30,119.50

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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.