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Finding the Fourth Proportional to 31,915.76, 44,043 and 17,768.32

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Solution

The fourth proportional to 31,915.76, 44,043 and 17,768.32 is: 24,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915.76 : 44,043 = 17,768.32 : x
  2. Step 2: Convert to fraction form
    31,915.76/44,043 = 17,768.32/x
  3. Step 3: Cross multiply
    31,915.76x = 44,043 × 17,768.32
  4. Step 4: Simplify right side
    31,915.76x = 782,570,117.76
  5. Step 5: Solve for x
    x = 782,570,117.76/31,915.76
  6. Step 6: Final answer
    x = 24,519.86

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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.