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Finding the Fourth Proportional to 41,508.84, 57,283.92 and 23,607

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Solution

The fourth proportional to 41,508.84, 57,283.92 and 23,607 is: 32,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,508.84 : 57,283.92 = 23,607 : x
  2. Step 2: Convert to fraction form
    41,508.84/57,283.92 = 23,607/x
  3. Step 3: Cross multiply
    41,508.84x = 57,283.92 × 23,607
  4. Step 4: Simplify right side
    41,508.84x = 1,352,301,499.44
  5. Step 5: Solve for x
    x = 1,352,301,499.44/41,508.84
  6. Step 6: Final answer
    x = 32,578.64

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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.