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Finding the Fourth Proportional to 49,822.24, 74,708.88 and 16,531

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Solution

The fourth proportional to 49,822.24, 74,708.88 and 16,531 is: 24,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,822.24 : 74,708.88 = 16,531 : x
  2. Step 2: Convert to fraction form
    49,822.24/74,708.88 = 16,531/x
  3. Step 3: Cross multiply
    49,822.24x = 74,708.88 × 16,531
  4. Step 4: Simplify right side
    49,822.24x = 1,235,012,495.28
  5. Step 5: Solve for x
    x = 1,235,012,495.28/49,822.24
  6. Step 6: Final answer
    x = 24,788.38

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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.