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Finding the Fourth Proportional to 41,260, 56,946 and 24,492.64

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Solution

The fourth proportional to 41,260, 56,946 and 24,492.64 is: 33,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,260 : 56,946 = 24,492.64 : x
  2. Step 2: Convert to fraction form
    41,260/56,946 = 24,492.64/x
  3. Step 3: Cross multiply
    41,260x = 56,946 × 24,492.64
  4. Step 4: Simplify right side
    41,260x = 1,394,757,877.44
  5. Step 5: Solve for x
    x = 1,394,757,877.44/41,260
  6. Step 6: Final answer
    x = 33,804.12

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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.