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Finding the Fourth Proportional to 32,129.64, 44,291.76 and 22,540.46

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Solution

The fourth proportional to 32,129.64, 44,291.76 and 22,540.46 is: 31,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129.64 : 44,291.76 = 22,540.46 : x
  2. Step 2: Convert to fraction form
    32,129.64/44,291.76 = 22,540.46/x
  3. Step 3: Cross multiply
    32,129.64x = 44,291.76 × 22,540.46
  4. Step 4: Simplify right side
    32,129.64x = 998,356,423.15
  5. Step 5: Solve for x
    x = 998,356,423.15/32,129.64
  6. Step 6: Final answer
    x = 31,072.75

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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.