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Finding the Fourth Proportional to 30,726.92, 42,416.22 and 20,661.20

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Solution

The fourth proportional to 30,726.92, 42,416.22 and 20,661.20 is: 28,521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726.92 : 42,416.22 = 20,661.20 : x
  2. Step 2: Convert to fraction form
    30,726.92/42,416.22 = 20,661.20/x
  3. Step 3: Cross multiply
    30,726.92x = 42,416.22 × 20,661.20
  4. Step 4: Simplify right side
    30,726.92x = 876,370,004.66
  5. Step 5: Solve for x
    x = 876,370,004.66/30,726.92
  6. Step 6: Final answer
    x = 28,521.24

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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.