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Finding the Fourth Proportional to 32,920.28, 45,433.44 and 20,182

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Solution

The fourth proportional to 32,920.28, 45,433.44 and 20,182 is: 27,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.28 : 45,433.44 = 20,182 : x
  2. Step 2: Convert to fraction form
    32,920.28/45,433.44 = 20,182/x
  3. Step 3: Cross multiply
    32,920.28x = 45,433.44 × 20,182
  4. Step 4: Simplify right side
    32,920.28x = 916,937,686.08
  5. Step 5: Solve for x
    x = 916,937,686.08/32,920.28
  6. Step 6: Final answer
    x = 27,853.28

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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.