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Finding the Fourth Proportional to 31,912.60, 44,038.20 and 17,765.16

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Solution

The fourth proportional to 31,912.60, 44,038.20 and 17,765.16 is: 24,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912.60 : 44,038.20 = 17,765.16 : x
  2. Step 2: Convert to fraction form
    31,912.60/44,038.20 = 17,765.16/x
  3. Step 3: Cross multiply
    31,912.60x = 44,038.20 × 17,765.16
  4. Step 4: Simplify right side
    31,912.60x = 782,345,669.11
  5. Step 5: Solve for x
    x = 782,345,669.11/31,912.60
  6. Step 6: Final answer
    x = 24,515.26

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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.