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Finding the Fourth Proportional to 38,189.48, 52,701.26 and 21,422.52

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Solution

The fourth proportional to 38,189.48, 52,701.26 and 21,422.52 is: 29,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,189.48 : 52,701.26 = 21,422.52 : x
  2. Step 2: Convert to fraction form
    38,189.48/52,701.26 = 21,422.52/x
  3. Step 3: Cross multiply
    38,189.48x = 52,701.26 × 21,422.52
  4. Step 4: Simplify right side
    38,189.48x = 1,128,993,796.38
  5. Step 5: Solve for x
    x = 1,128,993,796.38/38,189.48
  6. Step 6: Final answer
    x = 29,562.95

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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.