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Finding the Fourth Proportional to 32,258.88, 48,391.38 and 12,538.96

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Solution

The fourth proportional to 32,258.88, 48,391.38 and 12,538.96 is: 18,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,258.88 : 48,391.38 = 12,538.96 : x
  2. Step 2: Convert to fraction form
    32,258.88/48,391.38 = 12,538.96/x
  3. Step 3: Cross multiply
    32,258.88x = 48,391.38 × 12,538.96
  4. Step 4: Simplify right side
    32,258.88x = 606,777,578.16
  5. Step 5: Solve for x
    x = 606,777,578.16/32,258.88
  6. Step 6: Final answer
    x = 18,809.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.