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Finding the Fourth Proportional to 32,182.89, 44,422.11 and 20,853

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Solution

The fourth proportional to 32,182.89, 44,422.11 and 20,853 is: 28,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182.89 : 44,422.11 = 20,853 : x
  2. Step 2: Convert to fraction form
    32,182.89/44,422.11 = 20,853/x
  3. Step 3: Cross multiply
    32,182.89x = 44,422.11 × 20,853
  4. Step 4: Simplify right side
    32,182.89x = 926,334,259.83
  5. Step 5: Solve for x
    x = 926,334,259.83/32,182.89
  6. Step 6: Final answer
    x = 28,783.44

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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.