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Finding the Fourth Proportional to 32,207.64, 44,424.05 and 31,123.86

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Solution

The fourth proportional to 32,207.64, 44,424.05 and 31,123.86 is: 42,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.64 : 44,424.05 = 31,123.86 : x
  2. Step 2: Convert to fraction form
    32,207.64/44,424.05 = 31,123.86/x
  3. Step 3: Cross multiply
    32,207.64x = 44,424.05 × 31,123.86
  4. Step 4: Simplify right side
    32,207.64x = 1,382,647,990.64
  5. Step 5: Solve for x
    x = 1,382,647,990.64/32,207.64
  6. Step 6: Final answer
    x = 42,929.19

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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.