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Finding the Fourth Proportional to 30,291.86, 41,805.03 and 17,548.47

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Solution

The fourth proportional to 30,291.86, 41,805.03 and 17,548.47 is: 24,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.86 : 41,805.03 = 17,548.47 : x
  2. Step 2: Convert to fraction form
    30,291.86/41,805.03 = 17,548.47/x
  3. Step 3: Cross multiply
    30,291.86x = 41,805.03 × 17,548.47
  4. Step 4: Simplify right side
    30,291.86x = 733,614,314.80
  5. Step 5: Solve for x
    x = 733,614,314.80/30,291.86
  6. Step 6: Final answer
    x = 24,218.20

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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.