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Finding the Fourth Proportional to 49,729.64, 74,583.64 and 16,441.84

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Solution

The fourth proportional to 49,729.64, 74,583.64 and 16,441.84 is: 24,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,729.64 : 74,583.64 = 16,441.84 : x
  2. Step 2: Convert to fraction form
    49,729.64/74,583.64 = 16,441.84/x
  3. Step 3: Cross multiply
    49,729.64x = 74,583.64 × 16,441.84
  4. Step 4: Simplify right side
    49,729.64x = 1,226,292,275.50
  5. Step 5: Solve for x
    x = 1,226,292,275.50/49,729.64
  6. Step 6: Final answer
    x = 24,659.18

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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.